111100011110001 has 48 divisors (see below), whose sum is σ = 170677615464720. Its totient is φ = 69546055887360.

The previous prime is 111100011109949. The next prime is 111100011110129. The reversal of 111100011110001 is 100011110001111.

It can be written as a sum of positive squares in 8 ways, for example, as 956014617600 + 110143996492401 = 977760^2 + 10494951^2 .

It is not a de Polignac number, because 111100011110001 - 2⁴² = 106701964598897 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (111100011150001) 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, 50521566 + ... + 52674743.

It is an arithmetic number, because the mean of its divisors is an integer number (3555783655515).

Almost surely, 2^{111100011110001} is an apocalyptic number.

It is an amenable number.

111100011110001 is a deficient number, since it is larger than the sum of its proper divisors (59577604354719).

111100011110001 is a wasteful number, since it uses less digits than its factorization.

111100011110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103196466 (or 103196463 counting only the distinct ones).

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

Adding to 111100011110001 its reverse (100011110001111), we get a palindrome (211111121111112).

It can be divided in two parts, 111 and 100011110001, that multiplied together give a palindrome (11101233210111).

The spelling of 111100011110001 in words is "one hundred eleven trillion, one hundred billion, eleven million, one hundred ten thousand, one".