34221322000321 has 2 divisors, whose sum is σ = 34221322000322. Its totient is φ = 34221322000320.

The previous prime is 34221322000309. The next prime is 34221322000331. The reversal of 34221322000321 is 12300022312243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26129936945025 + 8091385055296 = 5111745^2 + 2844536^2 .

It is an emirp because it is prime and its reverse (12300022312243) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34221322000321 - 2¹¹ = 34221321998273 is a prime.

It is not a weakly prime, because it can be changed into another prime (34221322000331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17110661000160 + 17110661000161.

It is an arithmetic number, because the mean of its divisors is an integer number (17110661000161).

Almost surely, 2^{34221322000321} is an apocalyptic number.

It is an amenable number.

34221322000321 is a deficient number, since it is larger than the sum of its proper divisors (1).

34221322000321 is an equidigital number, since it uses as much as digits as its factorization.

34221322000321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 34221322000321 its reverse (12300022312243), we get a palindrome (46521344312564).

The spelling of 34221322000321 in words is "thirty-four trillion, two hundred twenty-one billion, three hundred twenty-two million, three hundred twenty-one", and thus it is an aban number.