100111110110111 has 8 divisors (see below), whose sum is σ = 105382769306880. Its totient is φ = 94839716253528.

The previous prime is 100111110110057. The next prime is 100111110110177. The reversal of 100111110110111 is 111011011111001.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111110110111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111110110092 and 100111110110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111110110911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65560361 + ... + 67069986.

It is an arithmetic number, because the mean of its divisors is an integer number (13172846163360).

Almost surely, 2^{100111110110111} is an apocalyptic number.

100111110110111 is a deficient number, since it is larger than the sum of its proper divisors (5271659196769).

100111110110111 is a wasteful number, since it uses less digits than its factorization.

100111110110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132670093.

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

Adding to 100111110110111 its reverse (111011011111001), we get a palindrome (211122121221112).

The spelling of 100111110110111 in words is "one hundred trillion, one hundred eleven billion, one hundred ten million, one hundred ten thousand, one hundred eleven".