101012010120 has 128 divisors (see below), whose sum is σ = 384807686400. Its totient is φ = 23088457728.

The previous prime is 101012010107. The next prime is 101012010241. The reversal of 101012010120 is 21010210101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6673129 + ... + 6688248.

It is an arithmetic number, because the mean of its divisors is an integer number (3006310050).

Almost surely, 2^101012010120 is an apocalyptic number.

101012010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012010120 is an abundant number, since it is smaller than the sum of its proper divisors (283795676280).

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

101012010120 is a wasteful number, since it uses less digits than its factorization.

101012010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13361404 (or 13361394 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101012010120 its reverse (21010210101), we get a palindrome (122022220221).

The spelling of 101012010120 in words is "one hundred one billion, twelve million, ten thousand, one hundred twenty".