10022001010129 has 2 divisors, whose sum is σ = 10022001010130. Its totient is φ = 10022001010128.

The previous prime is 10022001010123. The next prime is 10022001010169. The reversal of 10022001010129 is 92101010022001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8535191465025 + 1486809545104 = 2921505^2 + 1219348^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022001010129 - 2²³ = 10021992621521 is a prime.

It is not a weakly prime, because it can be changed into another prime (10022001010123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011000505064 + 5011000505065.

It is an arithmetic number, because the mean of its divisors is an integer number (5011000505065).

Almost surely, 2^{10022001010129} is an apocalyptic number.

It is an amenable number.

10022001010129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022001010129 is an equidigital number, since it uses as much as digits as its factorization.

10022001010129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 10022001010129 in words is "ten trillion, twenty-two billion, one million, ten thousand, one hundred twenty-nine".