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102210111121122 = 232371267391210903
BaseRepresentation
bin10111001111010110100101…
…010111011010011011100010
3111101220012011101022020101200
4113033112211113122123202
5101344102301421333442
61001214402110142030
730346302556540464
oct2717264527323342
9441805141266350
10102210111121122
112a627079130104
12b5690074b1916
1345054ab722394
141b34dd2590134
15bc3abd72e34c
hex5cf5a55da6e2

102210111121122 has 48 divisors (see below), whose sum is σ = 227442499926720. Its totient is φ = 33148936298016.

The previous prime is 102210111121003. The next prime is 102210111121163. The reversal of 102210111121122 is 221121111012201.

It is a happy number.

102210111121122 is a `hidden beast` number, since 102 + 210 + 111 + 121 + 122 = 666.

It is a super-3 number, since 3×1022101111211223 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102210111121095 and 102210111121104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83802723 + ... + 85013625.

It is an arithmetic number, because the mean of its divisors is an integer number (4738385415140).

Almost surely, 2102210111121122 is an apocalyptic number.

102210111121122 is an abundant number, since it is smaller than the sum of its proper divisors (125232388805598).

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

102210111121122 is a wasteful number, since it uses less digits than its factorization.

102210111121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337687 (or 1337684 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102210111121122 its reverse (221121111012201), we get a palindrome (323331222133323).

The spelling of 102210111121122 in words is "one hundred two trillion, two hundred ten billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 126739 253478 380217 760434 1140651 1210903 2281302 2421806 3632709 4689343 7265418 9378686 10898127 14068029 21796254 28136058 42204087 44803411 84408174 89606822 134410233 268820466 403230699 806461398 153468635317 306937270634 460405905951 920811811902 1381217717853 2762435435706 5678339506729 11356679013458 17035018520187 34070037040374 51105055560561 102210111121122