111100101100001 has 24 divisors (see below), whose sum is σ = 120658425750720. Its totient is φ = 102251922042816.

The previous prime is 111100101099997. The next prime is 111100101100013. The reversal of 111100101100001 is 100001101001111.

It is not a de Polignac number, because 111100101100001 - 2² = 111100101099997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111100101100301) 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 23 ways as a sum of consecutive naturals, for example, 84820295 + ... + 86120163.

It is an arithmetic number, because the mean of its divisors is an integer number (5027434406280).

Almost surely, 2^{111100101100001} is an apocalyptic number.

It is an amenable number.

111100101100001 is a deficient number, since it is larger than the sum of its proper divisors (9558324650719).

111100101100001 is a wasteful number, since it uses less digits than its factorization.

111100101100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301385 (or 1301372 counting only the distinct ones).

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

Adding to 111100101100001 its reverse (100001101001111), we get a palindrome (211101202101112).

The spelling of 111100101100001 in words is "one hundred eleven trillion, one hundred billion, one hundred one million, one hundred thousand, one".