100971953173 has 16 divisors (see below), whose sum is σ = 124386994816. Its totient is φ = 79816726080.

The previous prime is 100971953129. The next prime is 100971953179. The reversal of 100971953173 is 371359179001.

It is not a de Polignac number, because 100971953173 - 2²¹ = 100969856021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100971953179) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408123 + ... + 607048.

It is an arithmetic number, because the mean of its divisors is an integer number (7774187176).

Almost surely, 2^100971953173 is an apocalyptic number.

100971953173 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100971953173 is a deficient number, since it is larger than the sum of its proper divisors (23415041643).

100971953173 is a wasteful number, since it uses less digits than its factorization.

100971953173 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016284.

The product of its (nonzero) digits is 178605, while the sum is 46.

The spelling of 100971953173 in words is "one hundred billion, nine hundred seventy-one million, nine hundred fifty-three thousand, one hundred seventy-three".