101253565971 has 32 divisors (see below), whose sum is σ = 151247052800. Its totient is φ = 66944011680.

The previous prime is 101253565949. The next prime is 101253565981. The reversal of 101253565971 is 179565352101.

101253565971 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 5 + 3 + 56 + 597 + 1 = 666.

It is not a de Polignac number, because 101253565971 - 2⁵ = 101253565939 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101253565981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12240825 + ... + 12249093.

It is an arithmetic number, because the mean of its divisors is an integer number (4726470400).

Almost surely, 2^101253565971 is an apocalyptic number.

101253565971 is a deficient number, since it is larger than the sum of its proper divisors (49993486829).

101253565971 is a wasteful number, since it uses less digits than its factorization.

101253565971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11976 (or 11970 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 101253565971 in words is "one hundred one billion, two hundred fifty-three million, five hundred sixty-five thousand, nine hundred seventy-one".