101012120120000 has 70 divisors (see below), whose sum is σ = 250477229057748. Its totient is φ = 40404848032000.

The previous prime is 101012120119997. The next prime is 101012120120129. The reversal of 101012120120000 is 21021210101.

It is a super-2 number, since 2×101012120120000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1262611502 + ... + 1262691501.

Almost surely, 2^{101012120120000} is an apocalyptic number.

101012120120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012120120000 is an abundant number, since it is smaller than the sum of its proper divisors (149465108937748).

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

101012120120000 is an frugal number, since it uses more digits than its factorization.

101012120120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525303035 (or 2525303010 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101012120120000 its reverse (21021210101), we get a palindrome (101033141330101).

The spelling of 101012120120000 in words is "one hundred one trillion, twelve billion, one hundred twenty million, one hundred twenty thousand".