10221323034341 has 2 divisors, whose sum is σ = 10221323034342. Its totient is φ = 10221323034340.

The previous prime is 10221323034317. The next prime is 10221323034343. The reversal of 10221323034341 is 14343032312201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8625322872100 + 1596000162241 = 2936890^2 + 1263329^2 .

It is an emirp because it is prime and its reverse (14343032312201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10221323034341 - 2²² = 10221318840037 is a prime.

Together with 10221323034343, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221323034343) 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, 5110661517170 + 5110661517171.

It is an arithmetic number, because the mean of its divisors is an integer number (5110661517171).

Almost surely, 2^{10221323034341} is an apocalyptic number.

It is an amenable number.

10221323034341 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221323034341 is an equidigital number, since it uses as much as digits as its factorization.

10221323034341 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 29.

Adding to 10221323034341 its reverse (14343032312201), we get a palindrome (24564355346542).

The spelling of 10221323034341 in words is "ten trillion, two hundred twenty-one billion, three hundred twenty-three million, thirty-four thousand, three hundred forty-one".