100561116161601 has 16 divisors (see below), whose sum is σ = 149458464904320. Its totient is φ = 66825179008560.

The previous prime is 100561116161591. The next prime is 100561116161609. The reversal of 100561116161601 is 106161611165001.

It is a happy number.

100561116161601 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 611 + 16 + 16 + 16 + 0 + 1 = 666.

It is not a de Polignac number, because 100561116161601 - 2⁶ = 100561116161537 is a prime.

It is a super-2 number, since 2×100561116161601² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100561116161609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5987910870 + ... + 5987927663.

It is an arithmetic number, because the mean of its divisors is an integer number (9341154056520).

Almost surely, 2^{100561116161601} is an apocalyptic number.

It is an amenable number.

100561116161601 is a deficient number, since it is larger than the sum of its proper divisors (48897348742719).

100561116161601 is a wasteful number, since it uses less digits than its factorization.

100561116161601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11975838853 (or 11975838847 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The spelling of 100561116161601 in words is "one hundred trillion, five hundred sixty-one billion, one hundred sixteen million, one hundred sixty-one thousand, six hundred one".