100610111601 has 48 divisors (see below), whose sum is σ = 154480435200. Its totient is φ = 62993664000.

The previous prime is 100610111593. The next prime is 100610111669. The reversal of 100610111601 is 106111016001.

100610111601 is a `hidden beast` number, since 1 + 0 + 0 + 61 + 0 + 1 + 1 + 1 + 601 = 666.

It is not a de Polignac number, because 100610111601 - 2³ = 100610111593 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100610111401) 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, 2161825 + ... + 2207873.

It is an arithmetic number, because the mean of its divisors is an integer number (3218342400).

Almost surely, 2^100610111601 is an apocalyptic number.

It is an amenable number.

100610111601 is a deficient number, since it is larger than the sum of its proper divisors (53870323599).

100610111601 is a wasteful number, since it uses less digits than its factorization.

100610111601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46318 (or 46315 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 100610111601 its reverse (106111016001), we get a palindrome (206721127602).

The spelling of 100610111601 in words is "one hundred billion, six hundred ten million, one hundred eleven thousand, six hundred one".