102011312312010 has 96 divisors (see below), whose sum is σ = 265777882680960. Its totient is φ = 27146774256000.

The previous prime is 102011312311999. The next prime is 102011312312017. The reversal of 102011312312010 is 10213213110201.

102011312312010 is a `hidden beast` number, since 1 + 0 + 20 + 11 + 312 + 312 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102011312312017) 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, 464907625 + ... + 465126995.

It is an arithmetic number, because the mean of its divisors is an integer number (2768519611260).

Almost surely, 2^{102011312312010} is an apocalyptic number.

102011312312010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102011312312010 is an abundant number, since it is smaller than the sum of its proper divisors (163766570368950).

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

102011312312010 is a wasteful number, since it uses less digits than its factorization.

102011312312010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230044 (or 230041 counting only the distinct ones).

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

Adding to 102011312312010 its reverse (10213213110201), we get a palindrome (112224525422211).

The spelling of 102011312312010 in words is "one hundred two trillion, eleven billion, three hundred twelve million, three hundred twelve thousand, ten".