101636164445112 has 128 divisors (see below), whose sum is σ = 326105340595200. Its totient is φ = 28987141363200.

The previous prime is 101636164445099. The next prime is 101636164445131. The reversal of 101636164445112 is 211544461636101.

101636164445112 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 36 + 1 + 64 + 44 + 511 + 2 = 666.

It is a super-2 number, since 2×101636164445112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1258082064 + ... + 1258162847.

It is an arithmetic number, because the mean of its divisors is an integer number (2547697973400).

Almost surely, 2^{101636164445112} is an apocalyptic number.

101636164445112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101636164445112 is an abundant number, since it is smaller than the sum of its proper divisors (224469176150088).

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

101636164445112 is a wasteful number, since it uses less digits than its factorization.

101636164445112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516244954 (or 2516244944 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 101636164445112 in words is "one hundred one trillion, six hundred thirty-six billion, one hundred sixty-four million, four hundred forty-five thousand, one hundred twelve".