102122323312131 has 24 divisors (see below), whose sum is σ = 149953368820320. Its totient is φ = 66958539580800.

The previous prime is 102122323312127. The next prime is 102122323312151. The reversal of 102122323312131 is 131213323221201.

102122323312131 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 22 + 323 + 312 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 102122323312131 - 2² = 102122323312127 is a prime.

It is a super-2 number, since 2×102122323312131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102122323312095 and 102122323312104.

It is not an unprimeable number, because it can be changed into a prime (102122323312151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195112540 + ... + 195635241.

It is an arithmetic number, because the mean of its divisors is an integer number (6248057034180).

Almost surely, 2^{102122323312131} is an apocalyptic number.

102122323312131 is a deficient number, since it is larger than the sum of its proper divisors (47831045508189).

102122323312131 is a wasteful number, since it uses less digits than its factorization.

102122323312131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390748267 (or 390748264 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 102122323312131 its reverse (131213323221201), we get a palindrome (233335646533332).

The spelling of 102122323312131 in words is "one hundred two trillion, one hundred twenty-two billion, three hundred twenty-three million, three hundred twelve thousand, one hundred thirty-one".