110011122001 has 16 divisors (see below), whose sum is σ = 123897715200. Its totient is φ = 96772867200.

The previous prime is 110011121999. The next prime is 110011122061. The reversal of 110011122001 is 100221110011.

It is a cyclic number.

It is not a de Polignac number, because 110011122001 - 2¹ = 110011121999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110011122061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4765555 + ... + 4788583.

It is an arithmetic number, because the mean of its divisors is an integer number (7743607200).

Almost surely, 2^110011122001 is an apocalyptic number.

110011122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110011122001 is a deficient number, since it is larger than the sum of its proper divisors (13886593199).

110011122001 is a wasteful number, since it uses less digits than its factorization.

110011122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37080.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110011122001 its reverse (100221110011), we get a palindrome (210232232012).

The spelling of 110011122001 in words is "one hundred ten billion, eleven million, one hundred twenty-two thousand, one".