100111100110111 has 8 divisors (see below), whose sum is σ = 100248680931984. Its totient is φ = 99973522024320.

The previous prime is 100111100110027. The next prime is 100111100110117. The reversal of 100111100110111 is 111011001111001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100111100110111 - 2³⁹ = 99561344296223 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 (100111100110117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78898896 + ... + 80157706.

It is an arithmetic number, because the mean of its divisors is an integer number (12531085116498).

Almost surely, 2^{100111100110111} is an apocalyptic number.

100111100110111 is a deficient number, since it is larger than the sum of its proper divisors (137580821873).

100111100110111 is a wasteful number, since it uses less digits than its factorization.

100111100110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368041.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100111100110111 its reverse (111011001111001), we get a palindrome (211122101221112).

The spelling of 100111100110111 in words is "one hundred trillion, one hundred eleven billion, one hundred million, one hundred ten thousand, one hundred eleven".