10200112120120 has 32 divisors (see below), whose sum is σ = 24715656292320. Its totient is φ = 3766195244160.

The previous prime is 10200112120109. The next prime is 10200112120181. The reversal of 10200112120120 is 2102121100201.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 10200112120120.

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 7 ways as a sum of consecutive naturals, for example, 9807799596 + ... + 9807800635.

It is an arithmetic number, because the mean of its divisors is an integer number (772364259135).

Almost surely, 2^{10200112120120} is an apocalyptic number.

10200112120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200112120120 is an abundant number, since it is smaller than the sum of its proper divisors (14515544172200).

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

10200112120120 is a wasteful number, since it uses less digits than its factorization.

10200112120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19615600255 (or 19615600251 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10200112120120 its reverse (2102121100201), we get a palindrome (12302233220321).

The spelling of 10200112120120 in words is "ten trillion, two hundred billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty".