10110112122001 has 16 divisors (see below), whose sum is σ = 10208791756800. Its totient is φ = 10011737408400.

The previous prime is 10110112121981. The next prime is 10110112122091. The reversal of 10110112122001 is 10022121101101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10110112122001 - 2¹³ = 10110112113809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10110112122091) 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, 498344080 + ... + 498364366.

It is an arithmetic number, because the mean of its divisors is an integer number (638049484800).

Almost surely, 2^{10110112122001} is an apocalyptic number.

It is an amenable number.

10110112122001 is a deficient number, since it is larger than the sum of its proper divisors (98679634799).

10110112122001 is a wasteful number, since it uses less digits than its factorization.

10110112122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27564.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10110112122001 its reverse (10022121101101), we get a palindrome (20132233223102).

The spelling of 10110112122001 in words is "ten trillion, one hundred ten billion, one hundred twelve million, one hundred twenty-two thousand, one".