102012120010000 has 100 divisors (see below), whose sum is σ = 246987025199244. Its totient is φ = 40803942400000.

The previous prime is 102012120009983. The next prime is 102012120010033. The reversal of 102012120010000 is 10021210201.

It can be written as a sum of positive squares in 10 ways, for example, as 100856787391504 + 1155332618496 = 10042748^2 + 1074864^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 620727840 + ... + 620892160.

Almost surely, 2^{102012120010000} is an apocalyptic number.

102012120010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012120010000 is an abundant number, since it is smaller than the sum of its proper divisors (144974905189244).

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

102012120010000 is an equidigital number, since it uses as much as digits as its factorization.

102012120010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226430 (or 226409 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102012120010000 its reverse (10021210201), we get a palindrome (102022141220201).

The spelling of 102012120010000 in words is "one hundred two trillion, twelve billion, one hundred twenty million, ten thousand".