101133466920 has 80 divisors (see below), whose sum is σ = 339920830260. Its totient is φ = 26968923648.

The previous prime is 101133466919. The next prime is 101133466933. The reversal of 101133466920 is 29664331101.

101133466920 is a `hidden beast` number, since 101 + 1 + 3 + 3 + 466 + 92 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100807520004 + 325946916 = 317502^2 + 18054^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15603777 + ... + 15610256.

Almost surely, 2^101133466920 is an apocalyptic number.

101133466920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101133466920 is an abundant number, since it is smaller than the sum of its proper divisors (238787363340).

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

101133466920 is a wasteful number, since it uses less digits than its factorization.

101133466920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31214056 (or 31214043 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 101133466920 in words is "one hundred one billion, one hundred thirty-three million, four hundred sixty-six thousand, nine hundred twenty".