111110001101001 has 256 divisors, whose sum is σ = 200448867041280. Its totient is φ = 59463564272640.

The previous prime is 111110001100957. The next prime is 111110001101041. The reversal of 111110001101001 is 100101100011111.

It is not a de Polignac number, because 111110001101001 - 2⁹ = 111110001100489 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 (111110001101041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28409612236 + ... + 28409616146.

It is an arithmetic number, because the mean of its divisors is an integer number (783003386880).

Almost surely, 2^{111110001101001} is an apocalyptic number.

It is an amenable number.

111110001101001 is a deficient number, since it is larger than the sum of its proper divisors (89338865940279).

111110001101001 is a wasteful number, since it uses less digits than its factorization.

111110001101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4753 (or 4747 counting only the distinct ones).

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

Adding to 111110001101001 its reverse (100101100011111), we get a palindrome (211211101112112).

The spelling of 111110001101001 in words is "one hundred eleven trillion, one hundred ten billion, one million, one hundred one thousand, one".