101110022000120 has 32 divisors (see below), whose sum is σ = 259997199429600. Its totient is φ = 34666293257088.

The previous prime is 101110022000107. The next prime is 101110022000161. The reversal of 101110022000120 is 21000220011101.

101110022000120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180553610435 + ... + 180553610994.

It is an arithmetic number, because the mean of its divisors is an integer number (8124912482175).

Almost surely, 2^{101110022000120} is an apocalyptic number.

101110022000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110022000120 is an abundant number, since it is smaller than the sum of its proper divisors (158887177429480).

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

101110022000120 is a wasteful number, since it uses less digits than its factorization.

101110022000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361107221447 (or 361107221443 counting only the distinct ones).

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

Adding to 101110022000120 its reverse (21000220011101), we get a palindrome (122110242011221).

The spelling of 101110022000120 in words is "one hundred one trillion, one hundred ten billion, twenty-two million, one hundred twenty", and thus it is an aban number.