111100101101101 has 48 divisors (see below), whose sum is σ = 129996448864128. Its totient is φ = 93002995008000.

The previous prime is 111100101101083. The next prime is 111100101101137. The reversal of 111100101101101 is 101101101001111.

It is a happy number.

It is not a de Polignac number, because 111100101101101 - 2⁵ = 111100101101069 is a prime.

111100101101101 is a modest number, since divided by 101101101 gives 111100 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111200101101101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2357638326 + ... + 2357685448.

It is an arithmetic number, because the mean of its divisors is an integer number (2708259351336).

Almost surely, 2^{111100101101101} is an apocalyptic number.

It is an amenable number.

111100101101101 is a deficient number, since it is larger than the sum of its proper divisors (18896347763027).

111100101101101 is an equidigital number, since it uses as much as digits as its factorization.

111100101101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47830 (or 47741 counting only the distinct ones).

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

Adding to 111100101101101 its reverse (101101101001111), we get a palindrome (212201202102212).

The spelling of 111100101101101 in words is "one hundred eleven trillion, one hundred billion, one hundred one million, one hundred one thousand, one hundred one".