111100100110111 has 48 divisors (see below), whose sum is σ = 133694906946048. Its totient is φ = 91995234710400.

The previous prime is 111100100110049. The next prime is 111100100110121. The reversal of 111100100110111 is 111011001001111.

It is a happy number.

It is not a de Polignac number, because 111100100110111 - 2⁴³ = 102304007087903 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111100100110121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88117596 + ... + 89369518.

It is an arithmetic number, because the mean of its divisors is an integer number (2785310561376).

Almost surely, 2^{111100100110111} is an apocalyptic number.

111100100110111 is a deficient number, since it is larger than the sum of its proper divisors (22594806835937).

111100100110111 is a wasteful number, since it uses less digits than its factorization.

111100100110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252412 (or 1252405 counting only the distinct ones).

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

Adding to 111100100110111 its reverse (111011001001111), we get a palindrome (222111101111222).

The spelling of 111100100110111 in words is "one hundred eleven trillion, one hundred billion, one hundred million, one hundred ten thousand, one hundred eleven".