111100110100101 has 12 divisors (see below), whose sum is σ = 160478508849100. Its totient is φ = 74066476049280.

The previous prime is 111100110100073. The next prime is 111100110100141. The reversal of 111100110100101 is 101001011001111.

It can be written as a sum of positive squares in 2 ways, for example, as 46005711128001 + 65094398972100 = 6782751^2 + 8068110^2 .

It is not a de Polignac number, because 111100110100101 - 2⁶ = 111100110100037 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111100110100141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19319140 + ... + 24401421.

Almost surely, 2^{111100110100101} is an apocalyptic number.

It is an amenable number.

111100110100101 is a deficient number, since it is larger than the sum of its proper divisors (49378398748999).

111100110100101 is a wasteful number, since it uses less digits than its factorization.

111100110100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44002916 (or 44002913 counting only the distinct ones).

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

Adding to 111100110100101 its reverse (101001011001111), we get a palindrome (212101121101212).

The spelling of 111100110100101 in words is "one hundred eleven trillion, one hundred billion, one hundred ten million, one hundred thousand, one hundred one".