34222421332201 has 2 divisors, whose sum is σ = 34222421332202. Its totient is φ = 34222421332200.

The previous prime is 34222421332199. The next prime is 34222421332207. The reversal of 34222421332201 is 10223312422243.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32736706560000 + 1485714772201 = 5721600^2 + 1218899^2 .

It is a cyclic number.

It is not a de Polignac number, because 34222421332201 - 2¹ = 34222421332199 is a prime.

Together with 34222421332199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (34222421332207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17111210666100 + 17111210666101.

It is an arithmetic number, because the mean of its divisors is an integer number (17111210666101).

Almost surely, 2^{34222421332201} is an apocalyptic number.

It is an amenable number.

34222421332201 is a deficient number, since it is larger than the sum of its proper divisors (1).

34222421332201 is an equidigital number, since it uses as much as digits as its factorization.

34222421332201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 34222421332201 its reverse (10223312422243), we get a palindrome (44445733754444).

The spelling of 34222421332201 in words is "thirty-four trillion, two hundred twenty-two billion, four hundred twenty-one million, three hundred thirty-two thousand, two hundred one".