Building on what LocutusofBorg said: <extremely evil grin>
Currently, the internet uses 
IPv4 technology, which allows for 2^32 nodes to be connected to the internet (assuming no network address translation is being done), which amounts to 
4, 294, 967, 296 possible nodes. In spoken word terms, that is four 
billion, two hundred and ninety-four 
million, nine hundred and sixty-seven 
thousand, two hundred and ninety-six possible nodes.
The new technology, 
IPv6, allows for significantly more nodes to be connected simultaneously. Specifically, 2^128 nodes will be possible, which amounts to 
340, 282, 366, 920, 938, 463, 463, 374, 607, 431, 768, 211, 456 possible nodes. In spoken words, that is a whopping three hundred and fourty 
undecillion, two hundred and eighty-two 
decillion, three hundred and sixty-six 
nonillion, nine hundred and twenty 
octillion, nine hundred and thirty-eight 
septillion, four hundred and sixty-three 
sextillion, four hundred and sixty-three 
quintillion, three hundred and seventy-four 
quadrillion, six hundred and seven 
trillion, four hundred and thirty-one 
billion, seven hundred and sixty-eight 
million, two hundred and eleven 
thousand, four hundred and fifty-six nodes.
And it gets better.
MD5 hashing technology also has 2^128 possible hashes. however, the newer standard, SHA1, has more still - 2^140 to be exact, which amounts to (are you sitting down?) 
1, 393, 796, 574, 908, 163, 946, 345, 982, 392, 040, 522, 594, 123, 776 possible hashes or, in spoken words, one 
tredecillion, three hundred and ninety-three 
duodecillion, seven hundred and ninety-six 
undecillion, five hundred and seventy-four 
decillion, nine hundred and eight 
nonillion, one hundred and sixty-three 
octillion, nine hundred and fourty-six 
septillion, three hundred and fourty-five 
sextillion, nine hundred and eighty-two 
quintillion, three hundred and ninety-two 
quadrillion, fourty 
trillion, five hundred and twenty-two 
billion, five hundred and ninety-four 
million, one hundred and twenty-three 
thousand, seven hundred and seventy-six.
And it gets better still.
Public-key cryptography uses larger numbers still - 2^1024 or more is common. That amounts to (OK, this is getting rediculous) 
179, 769, 313, 486, 231, 590, 772, 930, 519, 078, 902, 473, 361, 797, 697, 894, 230, 657, 273, 430, 081, 157, 732, 675, 805, 500, 963, 132, 708, 477, 322, 407, 536, 021, 120, 113, 879, 871, 393, 357, 658, 789, 768, 814, 416, 622, 492, 847, 430, 639, 474, 124, 377, 767, 893, 424, 865, 485, 276, 302, 219, 601, 246, 094, 119, 453, 082, 952, 085, 005, 768, 838, 150, 682, 342, 462, 881, 473, 913, 110, 540, 827, 237, 163, 350, 510, 684, 586, 298, 239, 947, 245, 938, 479, 716, 304, 835, 356, 329, 624, 224, 137, 216 possible encryption keys, or in spoken words (
EXTREMELY deep breath), one hundred and seventy-nine 
uncentillion, seven hundred and sixty-nine 
centillion, three hundred and thirteen 
novemnonagintillion, four hundred and eighty-six 
octononagintillion, two hundred and thirty-one 
septennonagintillion, five hundred and ninety 
sexnonagintillion, seven hundred and seventy-two 
quinnonagintillion, nine hundred and thirty 
quattuornonagintillion, five hundred and nineteen 
trenonagintillion, seventy-eight 
duononagintillion, nine hundred and two 
unnonagintillion, four hundred and seventy-three 
nonagintillion, three hundred and sixty-one 
novemoctogintillion, seven hundred and ninety-seven 
octooctogintillion, six hundred and ninety-seven 
septoctogintillion, eight hundred and ninety-four 
sexoctogintillion, two hundred and thirty 
quinoctogintillion, six hundred and fifty-seven 
quattuoroctogintillion, two hundred and seventy-three 
treoctogintillion, four hundred and thirty 
duooctogintillion, eighty-one 
unoctogintillion, one hundred and fifty-seven 
octogintillion, seven hundred and thirty-two 
novemseptuagintillion, six hundred and seventy-five 
octoseptuagintillion, eight hundred and five 
septenseptuagintillion, five hundred 
sexseptuagintillion, nine hundred and sixty-three 
quinseptuagintillion, one hundred and thirty-two 
quattuorseptuagintillion, seven hundred and eight 
treseptuagintillion, four hundred and seventy-seven 
duoseptuagintillion, three hundred and twenty-two 
unseptuagintillion, four hundred and seven 
septuagintillion, five hundred and thirty-six 
novemsexagintillion, twenty-one 
octosexagintillion, one hundred and twenty 
septensexagintillion, one hundred and thirteen 
sexsexagintillion, eight hundred and seventy-nine 
quinsexagintillion, eight hundred and seventy-one 
quattuorsexagintillion, three hundred and ninety-three 
tresexagintillion, three hundred and fifty-seven 
duosexagintillion, six hundred and fifty-eight 
unsexagintillion, seven hundred and eighty-nine 
sexagintillion, seven hundred and sixty-eight 
novemquinquagintillion, eight hundred and fourteen 
octoquinquagintillion, four hundred and sixteen 
septenquinquagintillion, six hundred and twenty-two 
sexquinquagintillion, four hundred and ninety-two 
quinquinquagintillion, eight hundred and forty-seven 
quattuorquinquagintillion, four hundred and thirty 
trequinquagintillion, six hundred and thirty-nine 
duoquinquagintillion, four hundred and seventy-four 
unquinquagintillion, one hundred and twenth-four 
quinquagintillion, three hundred and seventy-seven 
novemquadragintillion, seven hundred and sixty-seven 
octoquadragintillion, eight hundred and ninety-three 
septenquadragintillion, four hundred and twenty-four 
sexquadragintillion, eight hundred and sixty-five 
quinquadragintillion, four hundred and eighty-five 
quattuorquadragintillion, two hundred and seventy-six 
trequadragintillion, three hundred and two 
duoquadragintillion, two hundred and nineteen 
unquadragintillion, six hundred and one 
quadragintillion, two hundred and forty-six 
novemtrigintillion, ninety-four 
octotrigintillion, one hundred and nineteen 
septentrigintillion, four hundred and fifty-three 
sextrigintillion, eighty-two 
quintrigintillion, nine hundred and fifty-two 
quattuortrigintillion, eight-five 
tretrigintillion, five 
duotrigintillion, seven hundred and sixty-eight 
untrigintillion, eight hundred and thirty-eight 
trigintillion, one hundred and fifty 
novemvigintillion, six hundred and eighty-two 
octovigintillion, three hundred and forty-two 
septenvigintillion, four hundred and sixty-two 
sexvigintillion, eight hundred and eighty-one 
quinvigintillion, four hundred and seventy-three 
quattuorvigintillion, nine hundred and thirteen 
trevigintillion, one hundred and ten 
duovigintillion, five hundred and forty 
unvigintillion, eight hundred and twenty-seven 
vigintillion, two hundred and thirty-seven 
novemdecillion, one hundred and sixty-three 
octodecillion, three hundred and fifty 
septendecillion, five hundred and ten 
sexdecillion, six hundred and eighty-four 
quindecillion, five hundred and eighty-six 
quattuordecillion, two hundred and ninety-eight 
tredecillion, two hundred and thirty-nine 
duodecillion, nine hundred and forty-seven 
undecillion, two hundred and forty-five 
decillion, nine hundred and thirty-eight 
nonillion, four hundred and seventy-nine 
octillion, seven hundred and sixteen 
septillion, three hundred and four 
sextillion, eight hundred and thirty-five 
quintillion, three hundred and fifty-six 
quadrillion, three hundred and twenty-nine 
trillion, six hundred and twenty-four 
billion, two hundred and twenty-four 
million, one hundred and thirty-seven 
thousand, two hundred and sixteen.
Source (his data, my corrections and additions)
One GOOGOL is a ONE followed by 100 zeroes. (10^100, or 10, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000)
One GOOGOLPLEX is a ONE followed by one googol zeroes. (10^10, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000, 000) (you can't write a googolplex, even in a million years)
Source