101873373171057 has 48 divisors (see below), whose sum is σ = 152514950178240. Its totient is φ = 65448602384256.

The previous prime is 101873373171049. The next prime is 101873373171071. The reversal of 101873373171057 is 750171373378101.

101873373171057 is a `hidden beast` number, since 10 + 1 + 87 + 337 + 3 + 171 + 0 + 57 = 666.

It is not a de Polignac number, because 101873373171057 - 2³ = 101873373171049 is a prime.

It is a super-2 number, since 2×101873373171057² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101873373170994 and 101873373171012.

It is not an unprimeable number, because it can be changed into a prime (101873373179057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2717836638 + ... + 2717874120.

It is an arithmetic number, because the mean of its divisors is an integer number (3177394795380).

Almost surely, 2^{101873373171057} is an apocalyptic number.

It is an amenable number.

101873373171057 is a deficient number, since it is larger than the sum of its proper divisors (50641577007183).

101873373171057 is a wasteful number, since it uses less digits than its factorization.

101873373171057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57102 (or 57099 counting only the distinct ones).

The product of its (nonzero) digits is 2593080, while the sum is 54.

The spelling of 101873373171057 in words is "one hundred one trillion, eight hundred seventy-three billion, three hundred seventy-three million, one hundred seventy-one thousand, fifty-seven".