34234102213261 has 2 divisors, whose sum is σ = 34234102213262. Its totient is φ = 34234102213260.

The previous prime is 34234102213189. The next prime is 34234102213321. The reversal of 34234102213261 is 16231220143243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23501067884100 + 10733034329161 = 4847790^2 + 3276131^2 .

It is a cyclic number.

It is not a de Polignac number, because 34234102213261 - 2²⁹ = 34233565342349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34234102210261) 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, 17117051106630 + 17117051106631.

It is an arithmetic number, because the mean of its divisors is an integer number (17117051106631).

Almost surely, 2^{34234102213261} is an apocalyptic number.

It is an amenable number.

34234102213261 is a deficient number, since it is larger than the sum of its proper divisors (1).

34234102213261 is an equidigital number, since it uses as much as digits as its factorization.

34234102213261 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 34.

The spelling of 34234102213261 in words is "thirty-four trillion, two hundred thirty-four billion, one hundred two million, two hundred thirteen thousand, two hundred sixty-one".