111100000101001 has 8 divisors (see below), whose sum is σ = 113959305141120. Its totient is φ = 108261339863088.

The previous prime is 111100000100993. The next prime is 111100000101073. The reversal of 111100000101001 is 100101000001111.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 111100000101001 - 2³ = 111100000100993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111100000101301) 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, 5161189651 + ... + 5161211176.

It is an arithmetic number, because the mean of its divisors is an integer number (14244913142640).

Almost surely, 2^{111100000101001} is an apocalyptic number.

It is an amenable number.

111100000101001 is a deficient number, since it is larger than the sum of its proper divisors (2859305040119).

111100000101001 is a wasteful number, since it uses less digits than its factorization.

111100000101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10322401103.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 111100000101001 its reverse (100101000001111), we get a palindrome (211201000102112).

The spelling of 111100000101001 in words is "one hundred eleven trillion, one hundred billion, one hundred one thousand, one".