10120100032100 has 72 divisors (see below), whose sum is σ = 22660449279048. Its totient is φ = 3920480051200.

The previous prime is 10120100032099. The next prime is 10120100032117. The reversal of 10120100032100 is 123000102101.

10120100032100 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 12 ways, for example, as 2166436621924 + 7953663410176 = 1471882^2 + 2820224^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8446757 + ... + 9570156.

It is an arithmetic number, because the mean of its divisors is an integer number (314728462209).

Almost surely, 2^{10120100032100} is an apocalyptic number.

10120100032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120100032100 is an abundant number, since it is smaller than the sum of its proper divisors (12540349246948).

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

10120100032100 is a wasteful number, since it uses less digits than its factorization.

10120100032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18017105 (or 18017098 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10120100032100 its reverse (123000102101), we get a palindrome (10243100134201).

The spelling of 10120100032100 in words is "ten trillion, one hundred twenty billion, one hundred million, thirty-two thousand, one hundred".