100556061010561 has 48 divisors (see below), whose sum is σ = 110246554386432. Its totient is φ = 91666335072000.

The previous prime is 100556061010529. The next prime is 100556061010591. The reversal of 100556061010561 is 165010160655001.

It is not a de Polignac number, because 100556061010561 - 2⁵ = 100556061010529 is a prime.

It is a super-2 number, since 2×100556061010561² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100556061010561.

It is not an unprimeable number, because it can be changed into a prime (100556061010591) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11386708416 + ... + 11386717246.

It is an arithmetic number, because the mean of its divisors is an integer number (2296803216384).

Almost surely, 2^{100556061010561} is an apocalyptic number.

It is an amenable number.

100556061010561 is a deficient number, since it is larger than the sum of its proper divisors (9690493375871).

100556061010561 is a wasteful number, since it uses less digits than its factorization.

100556061010561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10594 (or 10581 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 37.

The spelling of 100556061010561 in words is "one hundred trillion, five hundred fifty-six billion, sixty-one million, ten thousand, five hundred sixty-one".