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102022112222121 = 37132409371918899
BaseRepresentation
bin10111001100100111011111…
…110000100001101110101001
3111101020012220102012122112110
4113030213133300201232221
5101333012241212101441
61000552151125232533
730326566022344230
oct2714473760415651
9441205812178473
10102022112222121
112a5643757027a3
12b53869ab62749
1344c084a861c00
141b29c7a2d5b17
15bbdc68b96b16
hex5cc9dfc21ba9

102022112222121 has 96 divisors (see below), whose sum is σ = 168806695680000. Its totient is φ = 53665012836864.

The previous prime is 102022112222071. The next prime is 102022112222131. The reversal of 102022112222121 is 121222211220201.

It is not a de Polignac number, because 102022112222121 - 27 = 102022112221993 is a prime.

It is a super-2 number, since 2×1020221122221212 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (102022112222131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5398271530 + ... + 5398290428.

It is an arithmetic number, because the mean of its divisors is an integer number (1758403080000).

Almost surely, 2102022112222121 is an apocalyptic number.

It is an amenable number.

102022112222121 is a deficient number, since it is larger than the sum of its proper divisors (66784583457879).

102022112222121 is a wasteful number, since it uses less digits than its factorization.

102022112222121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23063 (or 23050 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 102022112222121 its reverse (121222211220201), we get a palindrome (223244323442322).

The spelling of 102022112222121 in words is "one hundred two trillion, twenty-two billion, one hundred twelve million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 13 21 39 91 169 273 409 507 1183 1227 2863 3549 3719 5317 8589 11157 15951 18899 26033 37219 48347 56697 69121 78099 111657 132293 145041 207363 245687 338429 396879 483847 628511 737061 1015287 1451541 1521071 1719809 1885533 3193931 4399577 4563213 5159427 7729691 9581793 10647497 13198731 19773923 22357517 23189073 31942491 54107837 59321769 67072551 70285381 100485983 138417461 162323511 210856143 257060999 301457949 415252383 491997667 703401881 771182997 913709953 1306317779 1475993001 1799426993 2110205643 2741129859 3918953337 5398280979 6395969671 9144224453 11878229389 19187909013 27432673359 28746720829 35634688167 83147605723 86240162487 201227045803 249442817169 373707370777 603681137409 1121122112331 2615951595439 4858195820101 7847854786317 14574587460303 34007370740707 102022112222121