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102220020000121 = 7173791392636829
BaseRepresentation
bin10111001111011111110011…
…111110110010010101111001
3111101221010201221121110000011
4113033133303332302111321
5101344233100110000441
61001223121235541521
730350103246610522
oct2717376376622571
9441833657543004
10102220020000121
112a6302a3468601
12b56ab11a5a8a1
1345063ca5875aa
141b35692593849
15bc3e9d5dd581
hex5cf7f3fb2579

102220020000121 has 64 divisors (see below), whose sum is σ = 107598661632000. Its totient is φ = 97050779804160.

The previous prime is 102220020000113. The next prime is 102220020000187. The reversal of 102220020000121 is 121000020022201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102220020000121 - 23 = 102220020000113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102220020000101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14968516135 + ... + 14968522963.

It is an arithmetic number, because the mean of its divisors is an integer number (1681229088000).

Almost surely, 2102220020000121 is an apocalyptic number.

It is an amenable number.

102220020000121 is a deficient number, since it is larger than the sum of its proper divisors (5378641631879).

102220020000121 is a wasteful number, since it uses less digits than its factorization.

102220020000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7454.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102220020000121 its reverse (121000020022201), we get a palindrome (223220040022322).

The spelling of 102220020000121 in words is "one hundred two trillion, two hundred twenty billion, twenty million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 71 73 79 139 263 5183 5609 5767 6829 9869 10147 10981 18673 19199 20777 36557 409457 484859 498517 539491 720437 779651 801613 949231 1363129 1475167 1516721 1796027 2595547 2668661 2888003 35394707 38303861 39382843 56914523 67395401 69293863 74989249 107687191 127517917 131109971 141886133 189474931 205048213 210824219 249647753 2796181853 4919864273 5324236679 5474215177 9308807941 10073915443 10357687709 14968519549 17724990463 18224285969 19722172487 388669277567 735395827339 1293924303799 1400274246577 1439718591551 102220020000121