34201111110209 has 2 divisors, whose sum is σ = 34201111110210. Its totient is φ = 34201111110208.

The previous prime is 34201111110191. The next prime is 34201111110277. The reversal of 34201111110209 is 90201111110243.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19644574128400 + 14556536981809 = 4432220^2 + 3815303^2 .

It is a cyclic number.

It is not a de Polignac number, because 34201111110209 - 2⁴⁴ = 16608925065793 is a prime.

It is a super-2 number, since 2×34201111110209² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34201111110809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17100555555104 + 17100555555105.

It is an arithmetic number, because the mean of its divisors is an integer number (17100555555105).

Almost surely, 2^{34201111110209} is an apocalyptic number.

It is an amenable number.

34201111110209 is a deficient number, since it is larger than the sum of its proper divisors (1).

34201111110209 is an equidigital number, since it uses as much as digits as its factorization.

34201111110209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 34201111110209 in words is "thirty-four trillion, two hundred one billion, one hundred eleven million, one hundred ten thousand, two hundred nine".