111111000001101 has 16 divisors (see below), whose sum is σ = 173272514622400. Its totient is φ = 70175368421424.

The previous prime is 111111000001093. The next prime is 111111000001153. The reversal of 111111000001101 is 101100000111111.

It is not a de Polignac number, because 111111000001101 - 2³ = 111111000001093 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 (111111000001201) 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 15 ways as a sum of consecutive naturals, for example, 108295321126 + ... + 108295322151.

It is an arithmetic number, because the mean of its divisors is an integer number (10829532163900).

Almost surely, 2^{111111000001101} is an apocalyptic number.

It is an amenable number.

111111000001101 is a deficient number, since it is larger than the sum of its proper divisors (62161514621299).

111111000001101 is a wasteful number, since it uses less digits than its factorization.

111111000001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216590643305 (or 216590643299 counting only the distinct ones).

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

Adding to 111111000001101 its reverse (101100000111111), we get a palindrome (212211000112212).

The spelling of 111111000001101 in words is "one hundred eleven trillion, one hundred eleven billion, one thousand, one hundred one".