111111101111001 has 32 divisors (see below), whose sum is σ = 148863026188800. Its totient is φ = 73717518510720.

The previous prime is 111111101110927. The next prime is 111111101111063. The reversal of 111111101111001 is 100111101111111.

It is not a de Polignac number, because 111111101111001 - 2⁹ = 111111101110489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111111101111701) 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 31 ways as a sum of consecutive naturals, for example, 6525574450 + ... + 6525591476.

It is an arithmetic number, because the mean of its divisors is an integer number (4651969568400).

Almost surely, 2^{111111101111001} is an apocalyptic number.

It is an amenable number.

111111101111001 is a deficient number, since it is larger than the sum of its proper divisors (37751925077799).

111111101111001 is a wasteful number, since it uses less digits than its factorization.

111111101111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29589.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 111111101111001 its reverse (100111101111111), we get a palindrome (211222202222112).

The spelling of 111111101111001 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred one million, one hundred eleven thousand, one".