100011110111 has 32 divisors (see below), whose sum is σ = 112520390976. Its totient is φ = 88128000000.

The previous prime is 100011110093. The next prime is 100011110113. The reversal of 100011110111 is 111011110001.

It is a cyclic number.

It is not a de Polignac number, because 100011110111 - 2¹⁰ = 100011109087 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 (100011110113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11106611 + ... + 11115611.

It is an arithmetic number, because the mean of its divisors is an integer number (3516262218).

Almost surely, 2^100011110111 is an apocalyptic number.

100011110111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100011110111 is a deficient number, since it is larger than the sum of its proper divisors (12509280865).

100011110111 is a wasteful number, since it uses less digits than its factorization.

100011110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9323.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100011110111 its reverse (111011110001), we get a palindrome (211022220112).

It can be divided in two parts, 10001 and 1110111, that multiplied together give a palindrome (11102220111).

The spelling of 100011110111 in words is "one hundred billion, eleven million, one hundred ten thousand, one hundred eleven".