10121625104 has 20 divisors (see below), whose sum is σ = 20764216764. Its totient is φ = 4763117568.

The previous prime is 10121625103. The next prime is 10121625113. The reversal of 10121625104 is 40152612101.

10121625104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3788648704 + 6332976400 = 61552^2 + 79580^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10121625104.

It is not an unprimeable number, because it can be changed into a prime (10121625103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18605657 + ... + 18606200.

Almost surely, 2^10121625104 is an apocalyptic number.

It is an amenable number.

10121625104 is an abundant number, since it is smaller than the sum of its proper divisors (10642591660).

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

10121625104 is a wasteful number, since it uses less digits than its factorization.

10121625104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37211882 (or 37211876 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The spelling of 10121625104 in words is "ten billion, one hundred twenty-one million, six hundred twenty-five thousand, one hundred four".