210100120120 has 64 divisors (see below), whose sum is σ = 515754086400. Its totient is φ = 76392074880.

The previous prime is 210100120079. The next prime is 210100120151. The reversal of 210100120120 is 21021001012.

210100120120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 210100120097 and 210100120106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5683537 + ... + 5720383.

It is an arithmetic number, because the mean of its divisors is an integer number (8058657600).

Almost surely, 2^210100120120 is an apocalyptic number.

210100120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210100120120 is an abundant number, since it is smaller than the sum of its proper divisors (305653966280).

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

210100120120 is a wasteful number, since it uses less digits than its factorization.

210100120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49828 (or 49824 counting only the distinct ones).

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

Adding to 210100120120 its reverse (21021001012), we get a palindrome (231121121132).

The spelling of 210100120120 in words is "two hundred ten billion, one hundred million, one hundred twenty thousand, one hundred twenty".