111110100101001 has 12 divisors (see below), whose sum is σ = 160518535548228. Its totient is φ = 74061322189344.

The previous prime is 111110100100997. The next prime is 111110100101087. The reversal of 111110100101001 is 100101001011111.

It can be written as a sum of positive squares in 2 ways, for example, as 108603514532601 + 2506585568400 = 10421301^2 + 1583220^2 .

It is not a de Polignac number, because 111110100101001 - 2² = 111110100100997 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 (111110100101501) 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, 1006431570 + ... + 1006541963.

It is an arithmetic number, because the mean of its divisors is an integer number (13376544629019).

Almost surely, 2^{111110100101001} is an apocalyptic number.

It is an amenable number.

111110100101001 is a deficient number, since it is larger than the sum of its proper divisors (49408435447227).

111110100101001 is a wasteful number, since it uses less digits than its factorization.

111110100101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012979672 (or 2012979669 counting only the distinct ones).

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

Adding to 111110100101001 its reverse (100101001011111), we get a palindrome (211211101112112).

The spelling of 111110100101001 in words is "one hundred eleven trillion, one hundred ten billion, one hundred million, one hundred one thousand, one".