110111001111111 has 128 divisors (see below), whose sum is σ = 202487794532352. Its totient is φ = 51363699264000.

The previous prime is 110111001111019. The next prime is 110111001111119. The reversal of 110111001111111 is 111111100111011.

It is not a de Polignac number, because 110111001111111 - 2⁷ = 110111001110983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110111001111119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 603352606 + ... + 603535076.

It is an arithmetic number, because the mean of its divisors is an integer number (1581935894784).

Almost surely, 2^{110111001111111} is an apocalyptic number.

110111001111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110111001111111 is a deficient number, since it is larger than the sum of its proper divisors (92376793421241).

110111001111111 is a wasteful number, since it uses less digits than its factorization.

110111001111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187973.

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

Adding to 110111001111111 its reverse (111111100111011), we get a palindrome (221222101222122).

The spelling of 110111001111111 in words is "one hundred ten trillion, one hundred eleven billion, one million, one hundred eleven thousand, one hundred eleven".