111100100101001 has 8 divisors (see below), whose sum is σ = 121201233021408. Its totient is φ = 100999154484000.

The previous prime is 111100100100989. The next prime is 111100100101043. The reversal of 111100100101001 is 100101001001111.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111100100101001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111100100101001.

It is not an unprimeable number, because it can be changed into a prime (111100100101301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45584180 + ... + 47959541.

It is an arithmetic number, because the mean of its divisors is an integer number (15150154127676).

Almost surely, 2^{111100100101001} is an apocalyptic number.

111100100101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111100100101001 is a deficient number, since it is larger than the sum of its proper divisors (10101132920407).

111100100101001 is a wasteful number, since it uses less digits than its factorization.

111100100101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93651703.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 111100100101001 its reverse (100101001001111), we get a palindrome (211201101102112).

The spelling of 111100100101001 in words is "one hundred eleven trillion, one hundred billion, one hundred million, one hundred one thousand, one".