101631027274056 has 96 divisors (see below), whose sum is σ = 325419545505600. Its totient is φ = 28036145450880.

The previous prime is 101631027274013. The next prime is 101631027274079. The reversal of 101631027274056 is 650472720136101.

101631027274056 is a `hidden beast` number, since 1 + 0 + 1 + 631 + 0 + 2 + 7 + 2 + 7 + 4 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×101631027274056² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3476689930 + ... + 3476719161.

It is an arithmetic number, because the mean of its divisors is an integer number (3389786932350).

Almost surely, 2^{101631027274056} is an apocalyptic number.

It is an amenable number.

101631027274056 is an abundant number, since it is smaller than the sum of its proper divisors (223788518231544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101631027274056 is a wasteful number, since it uses less digits than its factorization.

101631027274056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6953409139 (or 6953409132 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 101631027274056 in words is "one hundred one trillion, six hundred thirty-one billion, twenty-seven million, two hundred seventy-four thousand, fifty-six".