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102122012212122 = 23719324419515923
BaseRepresentation
bin10111001110000100100010…
…010000101111101110011010
3111101120202202121122221212010
4113032010202100233232122
5101341131340111241442
61001110112120530350
730340033443266340
oct2716044220575632
9441522677587763
10102122012212122
112a5a277a63a901
12b553b1b3209b6
1344ca0ab726426
141b30a35d61990
15bc1664228b9c
hex5ce12242fb9a

102122012212122 has 64 divisors (see below), whose sum is σ = 234641244625920. Its totient is φ = 29025292944384.

The previous prime is 102122012212117. The next prime is 102122012212139. The reversal of 102122012212122 is 221212210221201.

It is a super-3 number, since 3×1021220122121223 (a number of 43 digits) contains 333 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 197682453 + ... + 198198375.

It is an arithmetic number, because the mean of its divisors is an integer number (3666269447280).

Almost surely, 2102122012212122 is an apocalyptic number.

102122012212122 is an abundant number, since it is smaller than the sum of its proper divisors (132519232413798).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102122012212122 is a wasteful number, since it uses less digits than its factorization.

102122012212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540547.

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

Adding to 102122012212122 its reverse (221212210221201), we get a palindrome (323334222433323).

The spelling of 102122012212122 in words is "one hundred two trillion, one hundred twenty-two billion, twelve million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 193 386 579 1158 1351 2702 4053 8106 24419 48838 73257 146514 170933 341866 512799 515923 1025598 1031846 1547769 3095538 3611461 4712867 7222922 9425734 10834383 14138601 21668766 28277202 32990069 65980138 98970207 99573139 197940414 199146278 298719417 597438834 697011973 1394023946 2091035919 4182071838 12598323737 25196647474 37794971211 75589942422 88188266159 176376532318 264564798477 529129596954 2431476481241 4862952962482 7294429443723 14588858887446 17020335368687 34040670737374 51061006106061 102122012212122