10010002129 has 2 divisors, whose sum is σ = 10010002130. Its totient is φ = 10010002128.

The previous prime is 10010002117. The next prime is 10010002147. The reversal of 10010002129 is 92120001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7748048529 + 2261953600 = 88023^2 + 47560^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010002129 - 2⁵ = 10010002097 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010002159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005001064 + 5005001065.

It is an arithmetic number, because the mean of its divisors is an integer number (5005001065).

Almost surely, 2^10010002129 is an apocalyptic number.

It is an amenable number.

10010002129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010002129 is an equidigital number, since it uses as much as digits as its factorization.

10010002129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 10010002129 in words is "ten billion, ten million, two thousand, one hundred twenty-nine".