100001100110107 has 32 divisors (see below), whose sum is σ = 116356042915200. Its totient is φ = 84168236436480.

The previous prime is 100001100110099. The next prime is 100001100110137. The reversal of 100001100110107 is 701011001100001.

It is not a de Polignac number, because 100001100110107 - 2³ = 100001100110099 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001100110137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 916974519 + ... + 917083567.

It is an arithmetic number, because the mean of its divisors is an integer number (3636126341100).

Almost surely, 2^{100001100110107} is an apocalyptic number.

100001100110107 is a deficient number, since it is larger than the sum of its proper divisors (16354942805093).

100001100110107 is a wasteful number, since it uses less digits than its factorization.

100001100110107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112711.

The product of its (nonzero) digits is 7, while the sum is 13.

Adding to 100001100110107 its reverse (701011001100001), we get a palindrome (801012101210108).

The spelling of 100001100110107 in words is "one hundred trillion, one billion, one hundred million, one hundred ten thousand, one hundred seven".