101010000091920 has 80 divisors (see below), whose sum is σ = 313357743529152. Its totient is φ = 26916495229440.

The previous prime is 101010000091919. The next prime is 101010000091937. The reversal of 101010000091920 is 29190000010101.

101010000091920 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

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, 152049082 + ... + 152711961.

Almost surely, 2^{101010000091920} is an apocalyptic number.

101010000091920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010000091920 is an abundant number, since it is smaller than the sum of its proper divisors (212347743437232).

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

101010000091920 is a wasteful number, since it uses less digits than its factorization.

101010000091920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304762440 (or 304762434 counting only the distinct ones).

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

The spelling of 101010000091920 in words is "one hundred one trillion, ten billion, ninety-one thousand, nine hundred twenty".