34412222202101 has 2 divisors, whose sum is σ = 34412222202102. Its totient is φ = 34412222202100.

The previous prime is 34412222202037. The next prime is 34412222202103. The reversal of 34412222202101 is 10120222221443.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30809704321201 + 3602517880900 = 5550649^2 + 1898030^2 .

It is an emirp because it is prime and its reverse (10120222221443) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34412222202101 - 2⁶ = 34412222202037 is a prime.

Together with 34412222202103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34412222202103) 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, 17206111101050 + 17206111101051.

It is an arithmetic number, because the mean of its divisors is an integer number (17206111101051).

Almost surely, 2^{34412222202101} is an apocalyptic number.

It is an amenable number.

34412222202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

34412222202101 is an equidigital number, since it uses as much as digits as its factorization.

34412222202101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 34412222202101 its reverse (10120222221443), we get a palindrome (44532444423544).

The spelling of 34412222202101 in words is "thirty-four trillion, four hundred twelve billion, two hundred twenty-two million, two hundred two thousand, one hundred one".