10221122312329 has 2 divisors, whose sum is σ = 10221122312330. Its totient is φ = 10221122312328.

The previous prime is 10221122312267. The next prime is 10221122312333. The reversal of 10221122312329 is 92321322112201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9844031750400 + 377090561929 = 3137520^2 + 614077^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221122312329 - 2¹⁹ = 10221121788041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10221122312329.

It is not a weakly prime, because it can be changed into another prime (10221122312339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110561156164 + 5110561156165.

It is an arithmetic number, because the mean of its divisors is an integer number (5110561156165).

Almost surely, 2^{10221122312329} is an apocalyptic number.

It is an amenable number.

10221122312329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221122312329 is an equidigital number, since it uses as much as digits as its factorization.

10221122312329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 10221122312329 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-two million, three hundred twelve thousand, three hundred twenty-nine".