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100210100201112 = 2331117101221073799
BaseRepresentation
bin10110110010001111111011…
…011011001110011010011000
3111010210222210011220120222210
4112302033323123032122120
5101113320241122413422
6553043515015115120
730051640462321566
oct2662177333163230
9433728704816883
10100210100201112
1129a25957100a20
12b2a547b972aa0
1343bba05b36785
141aa62a249aa36
15b8ba647e610c
hex5b23fb6ce698

100210100201112 has 128 divisors (see below), whose sum is σ = 292241877696000. Its totient is φ = 28297446144000.

The previous prime is 100210100201093. The next prime is 100210100201137. The reversal of 100210100201112 is 211102001012001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110083612 + ... + 110990187.

It is an arithmetic number, because the mean of its divisors is an integer number (2283139669500).

Almost surely, 2100210100201112 is an apocalyptic number.

100210100201112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100210100201112 is an abundant number, since it is smaller than the sum of its proper divisors (192031777494888).

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

100210100201112 is a wasteful number, since it uses less digits than its factorization.

100210100201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221073937 (or 221073933 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100210100201112 its reverse (211102001012001), we get a palindrome (311312101213113).

The spelling of 100210100201112 in words is "one hundred trillion, two hundred ten billion, one hundred million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 101 102 132 136 187 202 204 264 303 374 404 408 561 606 748 808 1111 1122 1212 1496 1717 2222 2244 2424 3333 3434 4444 4488 5151 6666 6868 8888 10302 13332 13736 18887 20604 26664 37774 41208 56661 75548 113322 151096 226644 453288 221073799 442147598 663221397 884295196 1326442794 1768590392 2431811789 2652885588 3758254583 4863623578 5305771176 7295435367 7516509166 9727247156 11274763749 14590870734 15033018332 19454494312 22328453699 22549527498 29181741468 30066036664 41340800413 44656907398 45099054996 58363482936 66985361097 82681600826 89313814796 90198109992 124022401239 133970722194 165363201652 178627629592 245612990689 248044802478 267941444388 330726403304 379583712883 491225981378 496089604956 535882888776 736838972067 759167425766 982451962756 992179209912 1138751138649 1473677944134 1518334851532 1964903925512 2277502277298 2947355888268 3036669703064 4175420841713 4555004554596 5894711776536 8350841683426 9110009109192 12526262525139 16701683366852 25052525050278 33403366733704 50105050100556 100210100201112