111001110111111 has 256 divisors, whose sum is σ = 172928383229952. Its totient is φ = 62733881548800.

The previous prime is 111001110111079. The next prime is 111001110111127. The reversal of 111001110111111 is 111111011100111.

It is not a de Polignac number, because 111001110111111 - 2⁵ = 111001110111079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111001110111611) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 172630030956 + ... + 172630031598.

It is an arithmetic number, because the mean of its divisors is an integer number (675501496992).

Almost surely, 2^{111001110111111} is an apocalyptic number.

111001110111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111001110111111 is a deficient number, since it is larger than the sum of its proper divisors (61927273118841).

111001110111111 is a wasteful number, since it uses less digits than its factorization.

111001110111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 111001110111111 its reverse (111111011100111), we get a palindrome (222112121211222).

The spelling of 111001110111111 in words is "one hundred eleven trillion, one billion, one hundred ten million, one hundred eleven thousand, one hundred eleven".