100001100109 has 16 divisors (see below), whose sum is σ = 103814553600. Its totient is φ = 96225030000.

The previous prime is 100001100083. The next prime is 100001100131. The reversal of 100001100109 is 901001100001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100001100109 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 (100001100139) 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, 11167584 + ... + 11176534.

It is an arithmetic number, because the mean of its divisors is an integer number (6488409600).

Almost surely, 2^100001100109 is an apocalyptic number.

It is an amenable number.

100001100109 is a deficient number, since it is larger than the sum of its proper divisors (3813453491).

100001100109 is a wasteful number, since it uses less digits than its factorization.

100001100109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10992.

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

The spelling of 100001100109 in words is "one hundred billion, one million, one hundred thousand, one hundred nine".