334114242200129 has 2 divisors, whose sum is σ = 334114242200130. Its totient is φ = 334114242200128.

The previous prime is 334114242200023. The next prime is 334114242200149. The reversal of 334114242200129 is 921002242411433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 333910678807729 + 203563392400 = 18273223^2 + 451180^2 .

It is a cyclic number.

It is not a de Polignac number, because 334114242200129 - 2²⁰ = 334114241151553 is a prime.

It is a super-2 number, since 2×334114242200129² (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 334114242200092 and 334114242200101.

It is not a weakly prime, because it can be changed into another prime (334114242200149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167057121100064 + 167057121100065.

It is an arithmetic number, because the mean of its divisors is an integer number (167057121100065).

Almost surely, 2^{334114242200129} is an apocalyptic number.

It is an amenable number.

334114242200129 is a deficient number, since it is larger than the sum of its proper divisors (1).

334114242200129 is an equidigital number, since it uses as much as digits as its factorization.

334114242200129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 334114242200129 in words is "three hundred thirty-four trillion, one hundred fourteen billion, two hundred forty-two million, two hundred thousand, one hundred twenty-nine".