100966114601 has 16 divisors (see below), whose sum is σ = 113948505216. Its totient is φ = 88662000000.

The previous prime is 100966114577. The next prime is 100966114619. The reversal of 100966114601 is 106411669001.

It is a cyclic number.

It is not a de Polignac number, because 100966114601 - 2³⁰ = 99892372777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100966114631) 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, 1062725 + ... + 1153826.

It is an arithmetic number, because the mean of its divisors is an integer number (7121781576).

Almost surely, 2^100966114601 is an apocalyptic number.

100966114601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100966114601 is a deficient number, since it is larger than the sum of its proper divisors (12982390615).

100966114601 is a wasteful number, since it uses less digits than its factorization.

100966114601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216704.

The product of its (nonzero) digits is 7776, while the sum is 35.

The spelling of 100966114601 in words is "one hundred billion, nine hundred sixty-six million, one hundred fourteen thousand, six hundred one".