101132634686754 has 64 divisors (see below), whose sum is σ = 224839564283520. Its totient is φ = 30064908357120.

The previous prime is 101132634686581. The next prime is 101132634686761. The reversal of 101132634686754 is 457686436231101.

It is a junction number, because it is equal to n+sod(n) for n = 101132634686694 and 101132634686703.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32400144 + ... + 35384100.

It is an arithmetic number, because the mean of its divisors is an integer number (3513118191930).

Almost surely, 2^{101132634686754} is an apocalyptic number.

101132634686754 is an abundant number, since it is smaller than the sum of its proper divisors (123706929596766).

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

101132634686754 is a wasteful number, since it uses less digits than its factorization.

101132634686754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993715.

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 101132634686754 in words is "one hundred one trillion, one hundred thirty-two billion, six hundred thirty-four million, six hundred eighty-six thousand, seven hundred fifty-four".