101000019920 has 40 divisors (see below), whose sum is σ = 240552494280. Its totient is φ = 39414640640.

The previous prime is 101000019919. The next prime is 101000019949. The reversal of 101000019920 is 29910000101.

101000019920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 33686416 + 100966333504 = 5804^2 + 317752^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15393065 + ... + 15399624.

It is an arithmetic number, because the mean of its divisors is an integer number (6013812357).

Almost surely, 2^101000019920 is an apocalyptic number.

101000019920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000019920 is an abundant number, since it is smaller than the sum of its proper divisors (139552474360).

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

101000019920 is a wasteful number, since it uses less digits than its factorization.

101000019920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30792743 (or 30792737 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 23.

The spelling of 101000019920 in words is "one hundred one billion, nineteen thousand, nine hundred twenty".