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102122010022021 = 1122929102881169
BaseRepresentation
bin10111001110000100100010…
…001000011001000010000101
3111101120202202110112200121021
4113032010202020121002011
5101341131334031201041
61001110112001551141
730340033415545243
oct2716044210310205
9441522673480537
10102122010022021
112a5a2779384400
12b553b1a6454b1
1344ca0ab13a602
141b30a35951793
15bc1663e44cd1
hex5ce122219085

102122010022021 has 12 divisors (see below), whose sum is σ = 116120495868300. Its totient is φ = 89636873997440.

The previous prime is 102122010022013. The next prime is 102122010022027. The reversal of 102122010022021 is 120220010221201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 78674043885921 + 23447966136100 = 8869839^2 + 4842310^2 .

It is not a de Polignac number, because 102122010022021 - 23 = 102122010022013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102122010021986 and 102122010022004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122010022027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14551437076 + ... + 14551444093.

It is an arithmetic number, because the mean of its divisors is an integer number (9676707989025).

Almost surely, 2102122010022021 is an apocalyptic number.

102122010022021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102122010022021 is a deficient number, since it is larger than the sum of its proper divisors (13998485846279).

102122010022021 is a wasteful number, since it uses less digits than its factorization.

102122010022021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29102881220 (or 29102881209 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102122010022021 its reverse (120220010221201), we get a palindrome (222342020243222).

The spelling of 102122010022021 in words is "one hundred two trillion, one hundred twenty-two billion, ten million, twenty-two thousand, twenty-one".

Divisors: 1 11 29 121 319 3509 29102881169 320131692859 843983553901 3521448621449 9283819092911 102122010022021