122000020102201 has 2 divisors, whose sum is σ = 122000020102202. Its totient is φ = 122000020102200.

The previous prime is 122000020102199. The next prime is 122000020102243. The reversal of 122000020102201 is 102201020000221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61706115144976 + 60293904957225 = 7855324^2 + 7764915^2 .

It is an emirp because it is prime and its reverse (102201020000221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122000020102201 - 2¹ = 122000020102199 is a prime.

Together with 122000020102199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (122000020102501) 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, 61000010051100 + 61000010051101.

It is an arithmetic number, because the mean of its divisors is an integer number (61000010051101).

Almost surely, 2^{122000020102201} is an apocalyptic number.

It is an amenable number.

122000020102201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122000020102201 is an equidigital number, since it uses as much as digits as its factorization.

122000020102201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122000020102201 its reverse (102201020000221), we get a palindrome (224201040102422).

The spelling of 122000020102201 in words is "one hundred twenty-two trillion, twenty million, one hundred two thousand, two hundred one".