10110011122001 has 16 divisors (see below), whose sum is σ = 11562839467008. Its totient is φ = 8659319029200.

The previous prime is 10110011121953. The next prime is 10110011122007. The reversal of 10110011122001 is 10022111001101.

10110011122001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10110011122001 - 2²⁶ = 10109944013137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10110011122007) 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, 150765386 + ... + 150832428.

It is an arithmetic number, because the mean of its divisors is an integer number (722677466688).

Almost surely, 2^{10110011122001} is an apocalyptic number.

It is an amenable number.

10110011122001 is a deficient number, since it is larger than the sum of its proper divisors (1452828345007).

10110011122001 is a wasteful number, since it uses less digits than its factorization.

10110011122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82652.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10110011122001 its reverse (10022111001101), we get a palindrome (20132122123102).

The spelling of 10110011122001 in words is "ten trillion, one hundred ten billion, eleven million, one hundred twenty-two thousand, one".