10013222011129 has 2 divisors, whose sum is σ = 10013222011130. Its totient is φ = 10013222011128.

The previous prime is 10013222011103. The next prime is 10013222011139. The reversal of 10013222011129 is 92111022231001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8573886734400 + 1439335276729 = 2928120^2 + 1199723^2 .

It is a cyclic number.

It is not a de Polignac number, because 10013222011129 - 2²³ = 10013213622521 is a prime.

It is not a weakly prime, because it can be changed into another prime (10013222011139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006611005564 + 5006611005565.

It is an arithmetic number, because the mean of its divisors is an integer number (5006611005565).

Almost surely, 2^{10013222011129} is an apocalyptic number.

It is an amenable number.

10013222011129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013222011129 is an equidigital number, since it uses as much as digits as its factorization.

10013222011129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 10013222011129 in words is "ten trillion, thirteen billion, two hundred twenty-two million, eleven thousand, one hundred twenty-nine".