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102102200211012 = 223891813731416043
BaseRepresentation
bin10111001101110010000101…
…010111111101011001000100
3111101111212121212220000121020
4113031302011113331121010
5101340320301223223022
61001053034144551140
730335432463124221
oct2715620527753104
9441455555800536
10102102200211012
112a595333247171
12b5501103224b0
1344c8271c93451
141b2dab6a16948
15bc0da4c4635c
hex5cdc855fd644

102102200211012 has 96 divisors (see below), whose sum is σ = 242895953139840. Its totient is φ = 33375996656640.

The previous prime is 102102200210987. The next prime is 102102200211131. The reversal of 102102200211012 is 210112002201201.

It is a junction number, because it is equal to n+sod(n) for n = 102102200210982 and 102102200211000.

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, 71395863 + ... + 72811905.

It is an arithmetic number, because the mean of its divisors is an integer number (2530166178540).

Almost surely, 2102102200211012 is an apocalyptic number.

102102200211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102102200211012 is an abundant number, since it is smaller than the sum of its proper divisors (140793752928828).

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

102102200211012 is a wasteful number, since it uses less digits than its factorization.

102102200211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416693 (or 1416691 counting only the distinct ones).

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

Adding to 102102200211012 its reverse (210112002201201), we get a palindrome (312214202412213).

The spelling of 102102200211012 in words is "one hundred two trillion, one hundred two billion, two hundred million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 89 178 181 267 356 362 373 534 543 724 746 1068 1086 1119 1492 2172 2238 4476 16109 32218 33197 48327 64436 66394 67513 96654 99591 132788 135026 193308 199182 202539 270052 398364 405078 810156 1416043 2832086 4248129 5664172 6008657 8496258 12017314 16992516 18025971 24034628 36051942 72103884 126027827 252055654 256303783 378083481 504111308 512607566 528184039 756166962 768911349 1025215132 1056368078 1512333924 1537822698 1584552117 2112736156 3075645396 3169104234 6338208468 22811036687 45622073374 47008379471 68433110061 91244146748 94016758942 95601311059 136866220122 141025138413 188033517884 191202622118 273732440244 282050276826 286803933177 382405244236 564100553652 573607866354 1147215732708 8508516684251 17017033368502 25525550052753 34034066737004 51051100105506 102102200211012