111110110001001 has 24 divisors (see below), whose sum is σ = 165537438098760. Its totient is φ = 71762103242496.

The previous prime is 111110110000943. The next prime is 111110110001021. The reversal of 111110110001001 is 100100011011111.

It can be written as a sum of positive squares in 4 ways, for example, as 40244102942976 + 70866007058025 = 6343824^2 + 8418195^2 .

It is not a de Polignac number, because 111110110001001 - 2³⁹ = 110560354187113 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 (111110110001021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 715939566 + ... + 716094743.

It is an arithmetic number, because the mean of its divisors is an integer number (6897393254115).

Almost surely, 2^{111110110001001} is an apocalyptic number.

It is an amenable number.

111110110001001 is a deficient number, since it is larger than the sum of its proper divisors (54427328097759).

111110110001001 is a wasteful number, since it uses less digits than its factorization.

111110110001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432034585 (or 1432034582 counting only the distinct ones).

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

Adding to 111110110001001 its reverse (100100011011111), we get a palindrome (211210121012112).

The spelling of 111110110001001 in words is "one hundred eleven trillion, one hundred ten billion, one hundred ten million, one thousand, one".