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102212110323221 = 5371891815712953
BaseRepresentation
bin10111001111011000011100…
…100001110000111000010101
3111101220101022201011020002212
4113033120130201300320111
5101344120400220320341
61001215332324043205
730346403243510153
oct2717303441607025
9441811281136085
10102212110323221
112a627a04682248
12b569484b33505
13450573997a4c2
141b35141cbc3d3
15bc3b88ed55eb
hex5cf61c870e15

102212110323221 has 64 divisors (see below), whose sum is σ = 107608523742720. Its totient is φ = 97016984064000.

The previous prime is 102212110323217. The next prime is 102212110323251. The reversal of 102212110323221 is 122323011212201.

It is a cyclic number.

It is not a de Polignac number, because 102212110323221 - 22 = 102212110323217 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212110323251) by changing a digit.

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, 34612971881 + ... + 34612974833.

It is an arithmetic number, because the mean of its divisors is an integer number (1681383183480).

Almost surely, 2102212110323221 is an apocalyptic number.

It is an amenable number.

102212110323221 is a deficient number, since it is larger than the sum of its proper divisors (5396413419499).

102212110323221 is a wasteful number, since it uses less digits than its factorization.

102212110323221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 102212110323221 its reverse (122323011212201), we get a palindrome (224535121535422).

The spelling of 102212110323221 in words is "one hundred two trillion, two hundred twelve billion, one hundred ten million, three hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 53 71 89 181 571 2953 3763 4717 6319 9593 12851 16109 30263 40541 50819 103351 156509 209663 262817 334907 534493 681103 853777 1143739 1686163 2148673 2693407 3608149 5477603 7337921 9198239 11112139 13929301 18660007 28328129 37949003 47569877 60618167 89366639 119717573 150068507 191231897 305195503 388909813 487506667 653074969 988980371 2011297159 2521203481 3377461267 6345031369 7953630871 10654863997 16175361659 21668880713 27162399767 34612973357 179005447151 564707791841 1148450677789 1439607187651 1928530383457 102212110323221