111000001101101 has 16 divisors (see below), whose sum is σ = 129251357731584. Its totient is φ = 93347216836224.

The previous prime is 111000001100999. The next prime is 111000001101161. The reversal of 111000001101101 is 101101100000111.

It is a cyclic number.

It is not a de Polignac number, because 111000001101101 - 2¹⁰ = 111000001100077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111000001101161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80931416 + ... + 82291518.

It is an arithmetic number, because the mean of its divisors is an integer number (8078209858224).

Almost surely, 2^{111000001101101} is an apocalyptic number.

It is an amenable number.

111000001101101 is a deficient number, since it is larger than the sum of its proper divisors (18251356630483).

111000001101101 is a wasteful number, since it uses less digits than its factorization.

111000001101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580140.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 111000001101101 its reverse (101101100000111), we get a palindrome (212101101101212).

The spelling of 111000001101101 in words is "one hundred eleven trillion, one million, one hundred one thousand, one hundred one".