111001101100111 has 16 divisors (see below), whose sum is σ = 114131787896448. Its totient is φ = 107890599801600.

The previous prime is 111001101100069. The next prime is 111001101100177.

It is a happy number.

111001101100111 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 111001101100111 - 2¹⁵ = 111001101067343 is a prime.

111001101100111 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111001102100111) 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, 376437745 + ... + 376732501.

It is an arithmetic number, because the mean of its divisors is an integer number (7133236743528).

Almost surely, 2^{111001101100111} is an apocalyptic number.

111001101100111 is a deficient number, since it is larger than the sum of its proper divisors (3130686796337).

111001101100111 is a wasteful number, since it uses less digits than its factorization.

111001101100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328962.

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

It can be divided in two parts, 11100110 and 1100111, that added together give a palindrome (12200221).

The spelling of 111001101100111 in words is "one hundred eleven trillion, one billion, one hundred one million, one hundred thousand, one hundred eleven".