10110122122001 has 6 divisors (see below), whose sum is σ = 11112778861506. Its totient is φ = 9191020110800.

The previous prime is 10110122121947. The next prime is 10110122122019. The reversal of 10110122122001 is 10022122101101.

10110122122001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8410551009025 + 1699571112976 = 2900095^2 + 1303676^2 .

It is not a de Polignac number, because 10110122122001 - 2²² = 10110117927697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10110122122501) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41777364020 + ... + 41777364261.

It is an arithmetic number, because the mean of its divisors is an integer number (1852129810251).

Almost surely, 2^{10110122122001} is an apocalyptic number.

10110122122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10110122122001 is a deficient number, since it is larger than the sum of its proper divisors (1002656739505).

10110122122001 is an equidigital number, since it uses as much as digits as its factorization.

10110122122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83554728303 (or 83554728292 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10110122122001 its reverse (10022122101101), we get a palindrome (20132244223102).

The spelling of 10110122122001 in words is "ten trillion, one hundred ten billion, one hundred twenty-two million, one hundred twenty-two thousand, one".