34202012421329 has 2 divisors, whose sum is σ = 34202012421330. Its totient is φ = 34202012421328.

The previous prime is 34202012421307. The next prime is 34202012421331. The reversal of 34202012421329 is 92312421020243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33984842441104 + 217169980225 = 5829652^2 + 466015^2 .

It is an emirp because it is prime and its reverse (92312421020243) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34202012421329 - 2¹⁶ = 34202012355793 is a prime.

Together with 34202012421331, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34202012427329) 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, 17101006210664 + 17101006210665.

It is an arithmetic number, because the mean of its divisors is an integer number (17101006210665).

Almost surely, 2^{34202012421329} is an apocalyptic number.

It is an amenable number.

34202012421329 is a deficient number, since it is larger than the sum of its proper divisors (1).

34202012421329 is an equidigital number, since it uses as much as digits as its factorization.

34202012421329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 34202012421329 in words is "thirty-four trillion, two hundred two billion, twelve million, four hundred twenty-one thousand, three hundred twenty-nine".