10200110112120 has 64 divisors (see below), whose sum is σ = 30600721768320. Its totient is φ = 2719994569344.

The previous prime is 10200110112079. The next prime is 10200110112149. The reversal of 10200110112120 is 2121101100201.

It is a super-3 number, since 3×10200110112120³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10200110112096 and 10200110112105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9673179 + ... + 10675701.

It is an arithmetic number, because the mean of its divisors is an integer number (478136277630).

Almost surely, 2^{10200110112120} is an apocalyptic number.

10200110112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200110112120 is an abundant number, since it is smaller than the sum of its proper divisors (20400611656200).

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

10200110112120 is a wasteful number, since it uses less digits than its factorization.

10200110112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087324 (or 1087320 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10200110112120 its reverse (2121101100201), we get a palindrome (12321211212321).

The spelling of 10200110112120 in words is "ten trillion, two hundred billion, one hundred ten million, one hundred twelve thousand, one hundred twenty".