34201121242109 has 2 divisors, whose sum is σ = 34201121242110. Its totient is φ = 34201121242108.

The previous prime is 34201121242073. The next prime is 34201121242133. The reversal of 34201121242109 is 90124212110243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27648698789209 + 6552422452900 = 5258203^2 + 2559770^2 .

It is a cyclic number.

It is not a de Polignac number, because 34201121242109 - 2⁸ = 34201121241853 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34201121242199) 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, 17100560621054 + 17100560621055.

It is an arithmetic number, because the mean of its divisors is an integer number (17100560621055).

Almost surely, 2^{34201121242109} is an apocalyptic number.

It is an amenable number.

34201121242109 is a deficient number, since it is larger than the sum of its proper divisors (1).

34201121242109 is an equidigital number, since it uses as much as digits as its factorization.

34201121242109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 34201121242109 in words is "thirty-four trillion, two hundred one billion, one hundred twenty-one million, two hundred forty-two thousand, one hundred nine".