10010122131001 has 2 divisors, whose sum is σ = 10010122131002. Its totient is φ = 10010122131000.

The previous prime is 10010122130873. The next prime is 10010122131059. The reversal of 10010122131001 is 10013122101001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6992327778601 + 3017794352400 = 2644301^2 + 1737180^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010122131001 - 2⁷ = 10010122130873 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010122131101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005061065500 + 5005061065501.

It is an arithmetic number, because the mean of its divisors is an integer number (5005061065501).

Almost surely, 2^{10010122131001} is an apocalyptic number.

It is an amenable number.

10010122131001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010122131001 is an equidigital number, since it uses as much as digits as its factorization.

10010122131001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10010122131001 its reverse (10013122101001), we get a palindrome (20023244232002).

The spelling of 10010122131001 in words is "ten trillion, ten billion, one hundred twenty-two million, one hundred thirty-one thousand, one".