101665851057 has 16 divisors (see below), whose sum is σ = 150621432000. Its totient is φ = 67774823712.

The previous prime is 101665851047. The next prime is 101665851137. The reversal of 101665851057 is 750158566101.

It is a happy number.

101665851057 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 6 + 585 + 10 + 57 = 666.

It is not a de Polignac number, because 101665851057 - 2⁸ = 101665850801 is a prime.

It is a super-2 number, since 2×101665851057² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101665851047) 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, 1037694 + ... + 1131432.

It is an arithmetic number, because the mean of its divisors is an integer number (9413839500).

Almost surely, 2^101665851057 is an apocalyptic number.

It is an amenable number.

101665851057 is a deficient number, since it is larger than the sum of its proper divisors (48955580943).

101665851057 is an equidigital number, since it uses as much as digits as its factorization.

101665851057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133917 (or 133911 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 101665851057 in words is "one hundred one billion, six hundred sixty-five million, eight hundred fifty-one thousand, fifty-seven".