122233223313301 has 2 divisors, whose sum is σ = 122233223313302. Its totient is φ = 122233223313300.

The previous prime is 122233223313269. The next prime is 122233223313319. The reversal of 122233223313301 is 103313322332221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73140569555076 + 49092653758225 = 8552226^2 + 7006615^2 .

It is a cyclic number.

It is not a de Polignac number, because 122233223313301 - 2⁵ = 122233223313269 is a prime.

It is a super-2 number, since 2×122233223313301² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122233223313361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61116611656650 + 61116611656651.

It is an arithmetic number, because the mean of its divisors is an integer number (61116611656651).

Almost surely, 2^{122233223313301} is an apocalyptic number.

It is an amenable number.

122233223313301 is a deficient number, since it is larger than the sum of its proper divisors (1).

122233223313301 is an equidigital number, since it uses as much as digits as its factorization.

122233223313301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 122233223313301 its reverse (103313322332221), we get a palindrome (225546545645522).

The spelling of 122233223313301 in words is "one hundred twenty-two trillion, two hundred thirty-three billion, two hundred twenty-three million, three hundred thirteen thousand, three hundred one".