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100121100202112 = 2711536720024989
BaseRepresentation
bin10110110000111101000010…
…100111001011000010000000
3111010111111001121201012100112
4112300331002213023002000
5101110341003122431422
6552534555400210452
730042340124652053
oct2660750247130200
9433444047635315
10100121100202112
11299a1135a04440
12b290181a69a28
1343b34c1251c82
141aa1c5c30aa9a
15b895a614aee2
hex5b0f429cb080

100121100202112 has 128 divisors (see below), whose sum is σ = 225007195636800. Its totient is φ = 43984485642240.

The previous prime is 100121100202063. The next prime is 100121100202133. The reversal of 100121100202112 is 211202001121001.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5012687 + ... + 15012302.

Almost surely, 2100121100202112 is an apocalyptic number.

It is an amenable number.

100121100202112 is an abundant number, since it is smaller than the sum of its proper divisors (124886095434688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100121100202112 is a wasteful number, since it uses less digits than its factorization.

100121100202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20025134 (or 20025122 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100121100202112 its reverse (211202001121001), we get a palindrome (311323101323113).

The spelling of 100121100202112 in words is "one hundred trillion, one hundred twenty-one billion, one hundred million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 67 88 106 128 134 176 212 268 352 424 536 583 704 737 848 1072 1166 1408 1474 1696 2144 2332 2948 3392 3551 4288 4664 5896 6784 7102 8576 9328 11792 14204 18656 23584 28408 37312 39061 47168 56816 74624 78122 94336 113632 156244 227264 312488 454528 624976 1249952 2499904 4999808 20024989 40049978 80099956 160199912 220274879 320399824 440549758 640799648 881099516 1061324417 1281599296 1341674263 1762199032 2122648834 2563198592 2683348526 3524398064 4245297668 5366697052 7048796128 8490595336 10733394104 11674568587 14097592256 14758416893 16981190672 21466788208 23349137174 28195184512 29516833786 33962381344 42933576416 46698274348 59033667572 67924762688 71108735939 85867152832 93396548696 118067335144 135849525376 142217471878 171734305664 186793097392 236134670288 284434943756 373586194784 472269340576 568869887512 747172389568 782196095329 944538681152 1137739775024 1494344779136 1564392190658 1889077362304 2275479550048 3128784381316 4550959100096 6257568762632 9101918200192 12515137525264 25030275050528 50060550101056 100121100202112