10210202002129 has 2 divisors, whose sum is σ = 10210202002130. Its totient is φ = 10210202002128.

The previous prime is 10210202002111. The next prime is 10210202002139. The reversal of 10210202002129 is 92120020201201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8904118736529 + 1306083265600 = 2983977^2 + 1142840^2 .

It is a cyclic number.

It is not a de Polignac number, because 10210202002129 - 2²⁷ = 10210067784401 is a prime.

It is not a weakly prime, because it can be changed into another prime (10210202002139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105101001064 + 5105101001065.

It is an arithmetic number, because the mean of its divisors is an integer number (5105101001065).

Almost surely, 2^{10210202002129} is an apocalyptic number.

It is an amenable number.

10210202002129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10210202002129 is an equidigital number, since it uses as much as digits as its factorization.

10210202002129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 10210202002129 in words is "ten trillion, two hundred ten billion, two hundred two million, two thousand, one hundred twenty-nine".