10022012002129 has 2 divisors, whose sum is σ = 10022012002130. Its totient is φ = 10022012002128.

The previous prime is 10022012002109. The next prime is 10022012002151. The reversal of 10022012002129 is 92120021022001.

It is an a-pointer prime, because the next prime (10022012002151) can be obtained adding 10022012002129 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9826670101504 + 195341900625 = 3134752^2 + 441975^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022012002129 - 2²⁵ = 10021978447697 is a prime.

It is not a weakly prime, because it can be changed into another prime (10022012002109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011006001064 + 5011006001065.

It is an arithmetic number, because the mean of its divisors is an integer number (5011006001065).

Almost surely, 2^{10022012002129} is an apocalyptic number.

It is an amenable number.

10022012002129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022012002129 is an equidigital number, since it uses as much as digits as its factorization.

10022012002129 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 10022012002129 in words is "ten trillion, twenty-two billion, twelve million, two thousand, one hundred twenty-nine".