100616600601 has 32 divisors (see below), whose sum is σ = 163511187840. Its totient is φ = 60642820800.

The previous prime is 100616600593. The next prime is 100616600603. The reversal of 100616600601 is 106006616001.

It is not a de Polignac number, because 100616600601 - 2³ = 100616600593 is a prime.

It is a super-2 number, since 2×100616600601² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100616600603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 882090 + ... + 989603.

It is an arithmetic number, because the mean of its divisors is an integer number (5109724620).

Almost surely, 2^100616600601 is an apocalyptic number.

100616600601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100616600601 is a deficient number, since it is larger than the sum of its proper divisors (62894587239).

100616600601 is a wasteful number, since it uses less digits than its factorization.

100616600601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871894 (or 1871888 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 100616600601 in words is "one hundred billion, six hundred sixteen million, six hundred thousand, six hundred one".