101306633100 has 72 divisors (see below), whose sum is σ = 297488751168. Its totient is φ = 26611886400.

The previous prime is 101306633093. The next prime is 101306633137. The reversal of 101306633100 is 1336603101.

It is a super-2 number, since 2×101306633100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2499966 + ... + 2540165.

Almost surely, 2^101306633100 is an apocalyptic number.

101306633100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101306633100 is an abundant number, since it is smaller than the sum of its proper divisors (196182118068).

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

101306633100 is a wasteful number, since it uses less digits than its factorization.

101306633100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5040215 (or 5040208 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The spelling of 101306633100 in words is "one hundred one billion, three hundred six million, six hundred thirty-three thousand, one hundred".