101201112120 has 64 divisors (see below), whose sum is σ = 308134753920. Its totient is φ = 26584170624.

The previous prime is 101201112059. The next prime is 101201112157. The reversal of 101201112120 is 21211102101.

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 = 101201112096 and 101201112105.

It is a congruent number.

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, 6285562 + ... + 6301641.

It is an arithmetic number, because the mean of its divisors is an integer number (4814605530).

Almost surely, 2^101201112120 is an apocalyptic number.

101201112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201112120 is an abundant number, since it is smaller than the sum of its proper divisors (206933641800).

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

101201112120 is a wasteful number, since it uses less digits than its factorization.

101201112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12587284 (or 12587280 counting only the distinct ones).

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

Adding to 101201112120 its reverse (21211102101), we get a palindrome (122412214221).

The spelling of 101201112120 in words is "one hundred one billion, two hundred one million, one hundred twelve thousand, one hundred twenty".