101577427050872 has 64 divisors (see below), whose sum is σ = 194449564224000. Its totient is φ = 49733954596480.

The previous prime is 101577427050857. The next prime is 101577427050877. The reversal of 101577427050872 is 278050724775101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101577427050877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1647161783 + ... + 1647223449.

It is an arithmetic number, because the mean of its divisors is an integer number (3038274441000).

Almost surely, 2^{101577427050872} is an apocalyptic number.

It is an amenable number.

101577427050872 is a deficient number, since it is larger than the sum of its proper divisors (92872137173128).

101577427050872 is a wasteful number, since it uses less digits than its factorization.

101577427050872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81356 (or 81352 counting only the distinct ones).

The product of its (nonzero) digits is 7683200, while the sum is 56.

The spelling of 101577427050872 in words is "one hundred one trillion, five hundred seventy-seven billion, four hundred twenty-seven million, fifty thousand, eight hundred seventy-two".