111001121100111 has 48 divisors (see below), whose sum is σ = 167094629604224. Its totient is φ = 65447934552000.

The previous prime is 111001121100097. The next prime is 111001121100169.

111001121100111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 111001121100111 - 2³³ = 110992531165519 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 (111001121110111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121646676 + ... + 122555766.

Almost surely, 2^{111001121100111} is an apocalyptic number.

111001121100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111001121100111 is a deficient number, since it is larger than the sum of its proper divisors (56093508504113).

111001121100111 is a wasteful number, since it uses less digits than its factorization.

111001121100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918244 (or 918233 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

It can be divided in two parts, 11100 and 1121100111, that added together give a palindrome (1121111211).

The spelling of 111001121100111 in words is "one hundred eleven trillion, one billion, one hundred twenty-one million, one hundred thousand, one hundred eleven".