100111111100111 has 4 divisors (see below), whose sum is σ = 100111859018232. Its totient is φ = 100110363181992.

The previous prime is 100111111100083. The next prime is 100111111100129. The reversal of 100111111100111 is 111001111111001.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 100111111100111 - 2¹⁸ = 100111110837967 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111111100092 and 100111111100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111111100141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 373758245 + ... + 374025998.

It is an arithmetic number, because the mean of its divisors is an integer number (25027964754558).

Almost surely, 2^{100111111100111} is an apocalyptic number.

100111111100111 is a deficient number, since it is larger than the sum of its proper divisors (747918121).

100111111100111 is an equidigital number, since it uses as much as digits as its factorization.

100111111100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747918120.

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

Adding to 100111111100111 its reverse (111001111111001), we get a palindrome (211112222211112).

It can be divided in two parts, 1001111111001 and 11, that multiplied together give a palindrome (11012222221011).

The spelling of 100111111100111 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven million, one hundred thousand, one hundred eleven".