100581144117 has 16 divisors (see below), whose sum is σ = 137392503360. Its totient is φ = 65412259200.

The previous prime is 100581144109. The next prime is 100581144127. The reversal of 100581144117 is 711441185001.

It is not a de Polignac number, because 100581144117 - 2³ = 100581144109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100581144127) 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, 1455642 + ... + 1523172.

It is an arithmetic number, because the mean of its divisors is an integer number (8587031460).

Almost surely, 2^100581144117 is an apocalyptic number.

It is an amenable number.

100581144117 is a deficient number, since it is larger than the sum of its proper divisors (36811359243).

100581144117 is a wasteful number, since it uses less digits than its factorization.

100581144117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79684.

The product of its (nonzero) digits is 4480, while the sum is 33.

The spelling of 100581144117 in words is "one hundred billion, five hundred eighty-one million, one hundred forty-four thousand, one hundred seventeen".