122200221201301 has 2 divisors, whose sum is σ = 122200221201302. Its totient is φ = 122200221201300.

The previous prime is 122200221201299. The next prime is 122200221201367. The reversal of 122200221201301 is 103102122002221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121014278421201 + 1185942780100 = 11000649^2 + 1089010^2 .

It is a cyclic number.

It is not a de Polignac number, because 122200221201301 - 2¹ = 122200221201299 is a prime.

Together with 122200221201299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122200221207301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100110600650 + 61100110600651.

It is an arithmetic number, because the mean of its divisors is an integer number (61100110600651).

Almost surely, 2^{122200221201301} is an apocalyptic number.

It is an amenable number.

122200221201301 is a deficient number, since it is larger than the sum of its proper divisors (1).

122200221201301 is an equidigital number, since it uses as much as digits as its factorization.

122200221201301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 122200221201301 its reverse (103102122002221), we get a palindrome (225302343203522).

The spelling of 122200221201301 in words is "one hundred twenty-two trillion, two hundred billion, two hundred twenty-one million, two hundred one thousand, three hundred one".