100100001000109 has 64 divisors (see below), whose sum is σ = 113494869024768. Its totient is φ = 87510464870400.

The previous prime is 100100001000089. The next prime is 100100001000217. The reversal of 100100001000109 is 901000100001001.

It is not a de Polignac number, because 100100001000109 - 2²⁵ = 100099967445677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100001000709) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3726301612 + ... + 3726328474.

It is an arithmetic number, because the mean of its divisors is an integer number (1773357328512).

Almost surely, 2^{100100001000109} is an apocalyptic number.

It is an amenable number.

100100001000109 is a deficient number, since it is larger than the sum of its proper divisors (13394868024659).

100100001000109 is a wasteful number, since it uses less digits than its factorization.

100100001000109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27658.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 100100001000109 in words is "one hundred trillion, one hundred billion, one million, one hundred nine", and thus it is an aban number.