102131101012338 has 48 divisors (see below), whose sum is σ = 221352934566816. Its totient is φ = 34033104270720.

The previous prime is 102131101012337. The next prime is 102131101012393. The reversal of 102131101012338 is 833210101131201.

102131101012338 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 311 + 0 + 1 + 0 + 12 + 338 = 666.

It is not an unprimeable number, because it can be changed into a prime (102131101012337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1263911445 + ... + 1263992247.

It is an arithmetic number, because the mean of its divisors is an integer number (4611519470142).

Almost surely, 2^{102131101012338} is an apocalyptic number.

102131101012338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

102131101012338 is an abundant number, since it is smaller than the sum of its proper divisors (119221833554478).

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

102131101012338 is a wasteful number, since it uses less digits than its factorization.

102131101012338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101799 (or 101796 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 102131101012338 its reverse (833210101131201), we get a palindrome (935341202143539).

The spelling of 102131101012338 in words is "one hundred two trillion, one hundred thirty-one billion, one hundred one million, twelve thousand, three hundred thirty-eight".