100111100000107 has 16 divisors (see below), whose sum is σ = 114570735552000. Its totient is φ = 85691046893760.

The previous prime is 100111100000101. The next prime is 100111100000123. The reversal of 100111100000107 is 701000001111001.

It is not a de Polignac number, because 100111100000107 - 2¹¹ = 100111099998059 is a prime.

It is a super-2 number, since 2×100111100000107² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100111100000101) 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, 14260882 + ... + 20089672.

It is an arithmetic number, because the mean of its divisors is an integer number (7160670972000).

Almost surely, 2^{100111100000107} is an apocalyptic number.

100111100000107 is a deficient number, since it is larger than the sum of its proper divisors (14459635551893).

100111100000107 is a wasteful number, since it uses less digits than its factorization.

100111100000107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5832186.

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

Adding to 100111100000107 its reverse (701000001111001), we get a palindrome (801111101111108).

The spelling of 100111100000107 in words is "one hundred trillion, one hundred eleven billion, one hundred million, one hundred seven", and thus it is an aban number.