100100100099967 has 16 divisors (see below), whose sum is σ = 115671364768512. Its totient is φ = 85611796520320.

The previous prime is 100100100099919. The next prime is 100100100099973. The reversal of 100100100099967 is 769990001001001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100100100099967 - 2³⁹ = 99550344286079 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100100099917) 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, 110008033 + ... + 110914234.

It is an arithmetic number, because the mean of its divisors is an integer number (7229460298032).

Almost surely, 2^{100100100099967} is an apocalyptic number.

100100100099967 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

100100100099967 is a deficient number, since it is larger than the sum of its proper divisors (15571264668545).

100100100099967 is a wasteful number, since it uses less digits than its factorization.

100100100099967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220924718.

The product of its (nonzero) digits is 30618, while the sum is 43.

The spelling of 100100100099967 in words is "one hundred trillion, one hundred billion, one hundred million, ninety-nine thousand, nine hundred sixty-seven".