10112110120 has 64 divisors (see below), whose sum is σ = 26045844480. Its totient is φ = 3461239296.

The previous prime is 10112110111. The next prime is 10112110133. The reversal of 10112110120 is 2101121101.

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 = 10112110097 and 10112110106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140212 + ... + 199708.

It is an arithmetic number, because the mean of its divisors is an integer number (406966320).

Almost surely, 2^10112110120 is an apocalyptic number.

10112110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13022922240).

10112110120 is an abundant number, since it is smaller than the sum of its proper divisors (15933734360).

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

10112110120 is a wasteful number, since it uses less digits than its factorization.

10112110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60122 (or 60118 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10112110120 its reverse (2101121101), we get a palindrome (12213231221).

The spelling of 10112110120 in words is "ten billion, one hundred twelve million, one hundred ten thousand, one hundred twenty".