100111110001111 has 16 divisors (see below), whose sum is σ = 112288656324096. Its totient is φ = 88462701720000.

The previous prime is 100111110000973. The next prime is 100111110001171. The reversal of 100111110001111 is 111100011111001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111110001111 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 (100111110001171) 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, 409427325 + ... + 409671766.

It is an arithmetic number, because the mean of its divisors is an integer number (7018041020256).

Almost surely, 2^{100111110001111} is an apocalyptic number.

100111110001111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100111110001111 is a deficient number, since it is larger than the sum of its proper divisors (12177546322985).

100111110001111 is a wasteful number, since it uses less digits than its factorization.

100111110001111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819099414.

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

Adding to 100111110001111 its reverse (111100011111001), we get a palindrome (211211121112112).

It can be divided in two parts, 1001 and 11110001111, that multiplied together give a palindrome (11121111112111).

The spelling of 100111110001111 in words is "one hundred trillion, one hundred eleven billion, one hundred ten million, one thousand, one hundred eleven".