111100001101101 has 6 divisors (see below), whose sum is σ = 160477779368270. Its totient is φ = 74066667400728.

The previous prime is 111100001101087. The next prime is 111100001101181. The reversal of 111100001101101 is 101101100001111.

It can be written as a sum of positive squares in only one way, i.e., 75865389085476 + 35234612015625 = 8710074^2 + 5935875^2 .

It is not a de Polignac number, because 111100001101101 - 2⁹ = 111100001100589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 12344444566789 = 111100001101101 / (1 + 1 + 1 + 1 + 0 + 0 + 0 + 0 + 1 + 1 + 0 + 1 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111100001101181) 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 5 ways as a sum of consecutive naturals, for example, 6172222283386 + ... + 6172222283403.

Almost surely, 2^{111100001101101} is an apocalyptic number.

It is an amenable number.

111100001101101 is a deficient number, since it is larger than the sum of its proper divisors (49377778267169).

111100001101101 is a wasteful number, since it uses less digits than its factorization.

111100001101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12344444566795 (or 12344444566792 counting only the distinct ones).

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

Adding to 111100001101101 its reverse (101101100001111), we get a palindrome (212201101102212).

The spelling of 111100001101101 in words is "one hundred eleven trillion, one hundred billion, one million, one hundred one thousand, one hundred one".