102131123121 has 6 divisors (see below), whose sum is σ = 147522733410. Its totient is φ = 68087415408.

The previous prime is 102131123063. The next prime is 102131123147. The reversal of 102131123121 is 121321131201.

102131123121 is a `hidden beast` number, since 102 + 1 + 311 + 231 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101926947600 + 204175521 = 319260^2 + 14289^2 .

It is not a de Polignac number, because 102131123121 - 2⁷ = 102131122993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102131123094 and 102131123103.

It is not an unprimeable number, because it can be changed into a prime (102131113121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5673951276 + ... + 5673951293.

It is an arithmetic number, because the mean of its divisors is an integer number (24587122235).

Almost surely, 2^102131123121 is an apocalyptic number.

It is an amenable number.

102131123121 is a deficient number, since it is larger than the sum of its proper divisors (45391610289).

102131123121 is a wasteful number, since it uses less digits than its factorization.

102131123121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11347902575 (or 11347902572 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102131123121 its reverse (121321131201), we get a palindrome (223452254322).

The spelling of 102131123121 in words is "one hundred two billion, one hundred thirty-one million, one hundred twenty-three thousand, one hundred twenty-one".