111001010100111 has 18 divisors (see below), whose sum is σ = 164785283334672. Its totient is φ = 72000655192080.

The previous prime is 111001010100031. The next prime is 111001010100151.

111001010100111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 111001010100111 - 2⁷ = 111001010099983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

111001010100111 is a strobogrammatic number because it is the same when read upside-down.

It is a junction number, because it is equal to n+sod(n) for n = 111001010100093 and 111001010100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111001010100151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4504533175 + ... + 4504557816.

Almost surely, 2^{111001010100111} is an apocalyptic number.

111001010100111 is a deficient number, since it is larger than the sum of its proper divisors (53784273234561).

111001010100111 is an equidigital number, since it uses as much as digits as its factorization.

111001010100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9009091071 (or 9009091031 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

The spelling of 111001010100111 in words is "one hundred eleven trillion, one billion, ten million, one hundred thousand, one hundred eleven".