101633735172 has 12 divisors (see below), whose sum is σ = 237145382096. Its totient is φ = 33877911720.

The previous prime is 101633735171. The next prime is 101633735261. The reversal of 101633735172 is 271537336101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×101633735172² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101633735172.

It is not an unprimeable number, because it can be changed into a prime (101633735171) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4234738954 + ... + 4234738977.

Almost surely, 2^101633735172 is an apocalyptic number.

101633735172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101633735172 is an abundant number, since it is smaller than the sum of its proper divisors (135511646924).

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

101633735172 is a wasteful number, since it uses less digits than its factorization.

101633735172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8469477938 (or 8469477936 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The spelling of 101633735172 in words is "one hundred one billion, six hundred thirty-three million, seven hundred thirty-five thousand, one hundred seventy-two".