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100211022021012 = 223721767149628541
BaseRepresentation
bin10110110010010000110010…
…010111101100000110010100
3111010211002011102110220011120
4112302100302113230012110
5101113324133114133022
6553044150305003540
730052002354546300
oct2662206227540624
9433732142426146
10100211022021012
1129a2628a486951
12b2a56986235b0
1343bbb21acca36
141aa634ca96d00
15b8baba6d2d5c
hex5b24325ec194

100211022021012 has 144 divisors (see below), whose sum is σ = 292299955311168. Its totient is φ = 26545300024320.

The previous prime is 100211022020981. The next prime is 100211022021031. The reversal of 100211022021012 is 210120220112001.

It is a junction number, because it is equal to n+sod(n) for n = 100211022020982 and 100211022021000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74144539 + ... + 75484002.

It is an arithmetic number, because the mean of its divisors is an integer number (2029860800772).

Almost surely, 2100211022021012 is an apocalyptic number.

100211022021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100211022021012 is an abundant number, since it is smaller than the sum of its proper divisors (192088933290156).

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

100211022021012 is a wasteful number, since it uses less digits than its factorization.

100211022021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149628646 (or 149628637 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100211022021012 its reverse (210120220112001), we get a palindrome (310331242133013).

The spelling of 100211022021012 in words is "one hundred trillion, two hundred eleven billion, twenty-two million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 67 68 84 98 102 119 134 147 196 201 204 238 268 294 357 402 469 476 588 714 804 833 938 1139 1407 1428 1666 1876 2278 2499 2814 3283 3332 3417 4556 4998 5628 6566 6834 7973 9849 9996 13132 13668 15946 19698 23919 31892 39396 47838 55811 95676 111622 167433 223244 334866 669732 149628541 299257082 448885623 598514164 897771246 1047399787 1795542492 2094799574 2543685197 3142199361 4189599148 5087370394 6284398722 7331798509 7631055591 10025112247 10174740788 12568797444 14663597018 15262111182 17805796379 20050224494 21995395527 29327194036 30075336741 30524222364 35611592758 40100448988 43990791054 53417389137 60150673482 70175785729 71223185516 87981582108 106834778274 120301346964 124640574653 140351571458 170426908199 210527357187 213669556548 249281149306 280703142916 340853816398 373921723959 421054714374 491230500103 498562298612 511280724597 681707632796 747843447918 842109428748 982461000206 1022561449194 1192988357393 1473691500309 1495686895836 1964922000412 2045122898388 2385976714786 2947383000618 3578965072179 4771953429572 5894766001236 7157930144358 8350918501751 14315860288716 16701837003502 25052755505253 33403674007004 50105511010506 100211022021012