100110111111101 has 16 divisors (see below), whose sum is σ = 123371839672704. Its totient is φ = 79105531639104.

The previous prime is 100110111111077. The next prime is 100110111111139. The reversal of 100110111111101 is 101111111011001.

It is a cyclic number.

It is not a de Polignac number, because 100110111111101 - 2³⁰ = 100109037369277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110111111181) 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, 711515111 + ... + 711655796.

It is an arithmetic number, because the mean of its divisors is an integer number (7710739979544).

Almost surely, 2^{100110111111101} is an apocalyptic number.

It is an amenable number.

100110111111101 is a deficient number, since it is larger than the sum of its proper divisors (23261728561603).

100110111111101 is a wasteful number, since it uses less digits than its factorization.

100110111111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423171700.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 100110111111101 its reverse (101111111011001), we get a palindrome (201221222122102).

It can be divided in two parts, 1001 and 10111111101, that multiplied together give a palindrome (10121222212101).

The spelling of 100110111111101 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, one hundred eleven thousand, one hundred one".