102013012200231 has 48 divisors (see below), whose sum is σ = 171855990109440. Its totient is φ = 57624296290560.

The previous prime is 102013012200227. The next prime is 102013012200257. The reversal of 102013012200231 is 132002210310201.

102013012200231 is a `hidden beast` number, since 1 + 0 + 201 + 30 + 1 + 2 + 200 + 231 = 666.

It is not a de Polignac number, because 102013012200231 - 2² = 102013012200227 is a prime.

It is a super-2 number, since 2×102013012200231² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102013012200131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294068361 + ... + 294415058.

It is an arithmetic number, because the mean of its divisors is an integer number (3580333127280).

Almost surely, 2^{102013012200231} is an apocalyptic number.

102013012200231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102013012200231 is a deficient number, since it is larger than the sum of its proper divisors (69842977909209).

102013012200231 is a wasteful number, since it uses less digits than its factorization.

102013012200231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588483556 (or 588483553 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102013012200231 its reverse (132002210310201), we get a palindrome (234015222510432).

The spelling of 102013012200231 in words is "one hundred two trillion, thirteen billion, twelve million, two hundred thousand, two hundred thirty-one".