10402022123329 has 2 divisors, whose sum is σ = 10402022123330. Its totient is φ = 10402022123328.

The previous prime is 10402022123249. The next prime is 10402022123357. The reversal of 10402022123329 is 92332122020401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5977633806400 + 4424388316929 = 2444920^2 + 2103423^2 .

It is a cyclic number.

It is not a de Polignac number, because 10402022123329 - 2³⁹ = 9852266309441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10402022123329.

It is not a weakly prime, because it can be changed into another prime (10402022123359) 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, 5201011061664 + 5201011061665.

It is an arithmetic number, because the mean of its divisors is an integer number (5201011061665).

Almost surely, 2^{10402022123329} is an apocalyptic number.

It is an amenable number.

10402022123329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10402022123329 is an equidigital number, since it uses as much as digits as its factorization.

10402022123329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 10402022123329 in words is "ten trillion, four hundred two billion, twenty-two million, one hundred twenty-three thousand, three hundred twenty-nine".