10101100009920 has 112 divisors (see below), whose sum is σ = 32676105762720. Its totient is φ = 2642803511296.

The previous prime is 10101100009919. The next prime is 10101100009981. The reversal of 10101100009920 is 2990000110101.

10101100009920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 99213075 + ... + 99314834.

It is an arithmetic number, because the mean of its divisors is an integer number (291750944310).

Almost surely, 2^{10101100009920} is an apocalyptic number.

10101100009920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101100009920 is an abundant number, since it is smaller than the sum of its proper divisors (22575005752800).

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

10101100009920 is a wasteful number, since it uses less digits than its factorization.

10101100009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198527982 (or 198527972 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 24.

The spelling of 10101100009920 in words is "ten trillion, one hundred one billion, one hundred million, nine thousand, nine hundred twenty".