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102120020201122 = 2711101293175912739
BaseRepresentation
bin10111001110000010101011…
…100001110100111010100010
3111101120120121210100022110221
4113032002223201310322202
5101341113300132413442
61001105142321113254
730336633204420160
oct2716025341647242
9441516553308427
10102120020201122
112a5a194815a520
12b55366418882a
1344c9b51b184b1
141b308c7586230
15bc15993e3467
hex5ce0ab874ea2

102120020201122 has 128 divisors (see below), whose sum is σ = 193652044185600. Its totient is φ = 39233243808000.

The previous prime is 102120020201119. The next prime is 102120020201159. The reversal of 102120020201122 is 221102020021201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102120020201096 and 102120020201105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8016323029 + ... + 8016335767.

It is an arithmetic number, because the mean of its divisors is an integer number (1512906595200).

Almost surely, 2102120020201122 is an apocalyptic number.

102120020201122 is a deficient number, since it is larger than the sum of its proper divisors (91532023984478).

102120020201122 is a wasteful number, since it uses less digits than its factorization.

102120020201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14912.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102120020201122 its reverse (221102020021201), we get a palindrome (323222040222323).

The spelling of 102120020201122 in words is "one hundred two trillion, one hundred twenty billion, twenty million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 7 11 14 22 77 101 154 202 293 586 707 1111 1414 1759 2051 2222 3223 3518 4102 6446 7777 12313 12739 15554 19349 22561 24626 25478 29593 38698 45122 59186 89173 135443 140129 177659 178346 207151 270886 280258 325523 355318 414302 515387 651046 980903 1030774 1243613 1286639 1954249 1961806 2278661 2487226 2573278 3607709 3732527 3908498 4557322 5669257 7215418 7465054 9006473 11338514 13679743 14153029 18012946 22407901 26127689 27359486 28306058 39684799 41057797 44815802 52054087 52255378 79369598 82115594 99071203 104108174 156855307 198142406 246486911 287404579 313710614 364378609 376985227 492973822 572594957 574809158 728757218 753970454 1145189914 1725408377 2263198001 2638896589 3450816754 4008164699 4146837497 4526396002 5277793178 6565514993 8016329398 8293674994 13131029986 15842386007 24895178011 29027862479 31684772014 45958604951 49790356022 58055724958 72220664923 91917209902 144441329846 174266246077 348532492154 505544654461 663117014293 1011089308922 1326234028586 4641819100051 7294287157223 9283638200102 14588574314446 51060010100561 102120020201122