34201121242201 has 2 divisors, whose sum is σ = 34201121242202. Its totient is φ = 34201121242200.

The previous prime is 34201121242199. The next prime is 34201121242217. The reversal of 34201121242201 is 10224212110243.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33418816371801 + 782304870400 = 5780901^2 + 884480^2 .

It is a cyclic number.

It is not a de Polignac number, because 34201121242201 - 2¹ = 34201121242199 is a prime.

Together with 34201121242199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (34201121242601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17100560621100 + 17100560621101.

It is an arithmetic number, because the mean of its divisors is an integer number (17100560621101).

Almost surely, 2^{34201121242201} is an apocalyptic number.

It is an amenable number.

34201121242201 is a deficient number, since it is larger than the sum of its proper divisors (1).

34201121242201 is an equidigital number, since it uses as much as digits as its factorization.

34201121242201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 34201121242201 its reverse (10224212110243), we get a palindrome (44425333352444).

The spelling of 34201121242201 in words is "thirty-four trillion, two hundred one billion, one hundred twenty-one million, two hundred forty-two thousand, two hundred one".