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102120021112021 = 11172115303488051
BaseRepresentation
bin10111001110000010101011…
…100101010011010011010101
3111101120120121212001120222221
4113032002223211103103111
5101341113300401041041
61001105142352422341
730336633215232643
oct2716025345232325
9441516555046887
10102120021112021
112a5a1948721930
12b5536645479b1
1344c9b52076ca3
141b308c7742193
15bc15995232d1
hex5ce0ab9534d5

102120021112021 has 32 divisors (see below), whose sum is σ = 118538444583936. Its totient is φ = 86944740960000.

The previous prime is 102120021112019. The next prime is 102120021112027. The reversal of 102120021112021 is 120211120021201.

It is not a de Polignac number, because 102120021112021 - 21 = 102120021112019 is a prime.

It is a super-2 number, since 2×1021200211120212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102120021111986 and 102120021112004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120021112027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208996446 + ... + 209484496.

It is an arithmetic number, because the mean of its divisors is an integer number (3704326393248).

Almost surely, 2102120021112021 is an apocalyptic number.

102120021112021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102120021112021 is a deficient number, since it is larger than the sum of its proper divisors (16418423471915).

102120021112021 is a wasteful number, since it uses less digits than its factorization.

102120021112021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493593.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102120021112021 its reverse (120211120021201), we get a palindrome (222331141133222).

The spelling of 102120021112021 in words is "one hundred two trillion, one hundred twenty billion, twenty-one million, one hundred twelve thousand, twenty-one".

Divisors: 1 11 17 187 211 2321 3587 5303 39457 58333 90151 488051 991661 1118933 5368561 8296867 12308263 19021861 91265537 102978761 209240471 1132766371 1750638937 2588134453 19257028307 28469478983 43998285701 483981142711 546096369583 6007060065413 9283638282911 102120021112021