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102120122121122 = 272329163313214351
BaseRepresentation
bin10111001110000010110001…
…100110100111101110100010
3111101120120212220010101102202
4113032002301212213232202
5101341114002230333442
61001105200401413202
730336635552630060
oct2716026146475642
9441516786111382
10102120122121122
112a5a199a742526
12b55369233a202
1344c9b69c81ba1
141b308d6d17030
15bc15a3326c32
hex5ce0b19a7ba2

102120122121122 has 128 divisors (see below), whose sum is σ = 190741315829760. Its totient is φ = 40042857254400.

The previous prime is 102120122121107. The next prime is 102120122121137. The reversal of 102120122121122 is 221121221021201.

It is an interprime number because it is at equal distance from previous prime (102120122121107) and next prime (102120122121137).

It is a junction number, because it is equal to n+sod(n) for n = 102120122121094 and 102120122121103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 476308247 + ... + 476522597.

It is an arithmetic number, because the mean of its divisors is an integer number (1490166529920).

Almost surely, 2102120122121122 is an apocalyptic number.

102120122121122 is a deficient number, since it is larger than the sum of its proper divisors (88621193708638).

102120122121122 is a wasteful number, since it uses less digits than its factorization.

102120122121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214888.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 102120122121122 its reverse (221121221021201), we get a palindrome (323241343142323).

The spelling of 102120122121122 in words is "one hundred two trillion, one hundred twenty billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 7 14 23 29 46 58 161 163 203 313 322 326 406 626 667 1141 1334 2191 2282 3749 4382 4669 4727 7199 7498 9077 9338 9454 14398 18154 26243 33089 50393 51019 52486 63539 66178 100786 102038 108721 127078 208771 214351 217442 357133 417542 428702 714266 761047 1173437 1461397 1479551 1500457 1522094 2346874 2922794 2959102 3000914 4930073 6216179 8214059 9860146 10356857 12432358 16428118 20713714 34029673 34510511 34939213 43513253 67091863 68059346 69021022 69878426 87026506 134183726 142972117 238207711 244574491 285944234 469643041 476415422 489148982 803601899 939286082 1000804819 1013237177 1543112849 1607203798 1945664027 2001609638 2026474354 3086225698 3891328054 5625213293 7092660239 10801789943 10935973669 11250426586 13619648189 14185320478 21603579886 21871947338 23304455071 27239296378 44750272621 46608910142 76551815683 89500545242 153103631366 163131185497 251527394387 313251908347 317143236401 326262370994 503054788774 626503816694 634286472802 1760691760709 2220002654807 3521383521418 4440005309614 7294294437223 14588588874446 51060061060561 102120122121122