334112122114321 has 2 divisors, whose sum is σ = 334112122114322. Its totient is φ = 334112122114320.

The previous prime is 334112122114319. The next prime is 334112122114343. The reversal of 334112122114321 is 123411221211433.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 273375272356096 + 60736849758225 = 16534064^2 + 7793385^2 .

It is a cyclic number.

It is not a de Polignac number, because 334112122114321 - 2¹ = 334112122114319 is a prime.

It is a super-2 number, since 2×334112122114321² (a number of 30 digits) contains 22 as substring.

Together with 334112122114319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (334112122114361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167056061057160 + 167056061057161.

It is an arithmetic number, because the mean of its divisors is an integer number (167056061057161).

Almost surely, 2^{334112122114321} is an apocalyptic number.

It is an amenable number.

334112122114321 is a deficient number, since it is larger than the sum of its proper divisors (1).

334112122114321 is an equidigital number, since it uses as much as digits as its factorization.

334112122114321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 31.

Adding to 334112122114321 its reverse (123411221211433), we get a palindrome (457523343325754).

The spelling of 334112122114321 in words is "three hundred thirty-four trillion, one hundred twelve billion, one hundred twenty-two million, one hundred fourteen thousand, three hundred twenty-one".