102112012010000 has 100 divisors (see below), whose sum is σ = 251276236274844. Its totient is φ = 40175217600000.

The previous prime is 102112012009981. The next prime is 102112012010017. The reversal of 102112012010000 is 10210211201.

It can be written as a sum of positive squares in 10 ways, for example, as 101703271718416 + 408740291584 = 10084804^2 + 639328^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 83088371 + ... + 84308370.

Almost surely, 2^{102112012010000} is an apocalyptic number.

102112012010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112012010000 is an abundant number, since it is smaller than the sum of its proper divisors (149164224264844).

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

102112012010000 is an equidigital number, since it uses as much as digits as its factorization.

102112012010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167396830 (or 167396809 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102112012010000 its reverse (10210211201), we get a palindrome (102122222221201).

The spelling of 102112012010000 in words is "one hundred two trillion, one hundred twelve billion, twelve million, ten thousand".