111111100001001 has 12 divisors (see below), whose sum is σ = 166438026339312. Its totient is φ = 74074066667172.

The previous prime is 111111100000991. The next prime is 111111100001023. The reversal of 111111100001001 is 100100001111111.

It is not a de Polignac number, because 111111100001001 - 2¹¹ = 111111099998953 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 (111111100001051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228623662311 + ... + 228623662796.

It is an arithmetic number, because the mean of its divisors is an integer number (13869835528276).

Almost surely, 2^{111111100001001} is an apocalyptic number.

It is an amenable number.

111111100001001 is a deficient number, since it is larger than the sum of its proper divisors (55326926338311).

111111100001001 is an frugal number, since it uses more digits than its factorization.

111111100001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457247325122 (or 457247325110 counting only the distinct ones).

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

Adding to 111111100001001 its reverse (100100001111111), we get a palindrome (211211101112112).

The spelling of 111111100001001 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred million, one thousand, one".