10012100513256 has 80 divisors (see below), whose sum is σ = 28315415700000. Its totient is φ = 3304965195936.

The previous prime is 10012100513231. The next prime is 10012100513281. The reversal of 10012100513256 is 65231500121001.

10012100513256 is a `hidden beast` number, since 1 + 0 + 0 + 121 + 0 + 0 + 513 + 25 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10012100513231) and next prime (10012100513281).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 74937006 + ... + 75070493.

It is an arithmetic number, because the mean of its divisors is an integer number (353942696250).

Almost surely, 2^{10012100513256} is an apocalyptic number.

It is an amenable number.

10012100513256 is an abundant number, since it is smaller than the sum of its proper divisors (18303315186744).

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

10012100513256 is a wasteful number, since it uses less digits than its factorization.

10012100513256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150007620 (or 150007607 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 10012100513256 its reverse (65231500121001), we get a palindrome (75243600634257).

The spelling of 10012100513256 in words is "ten trillion, twelve billion, one hundred million, five hundred thirteen thousand, two hundred fifty-six".