122121322123301 has 2 divisors, whose sum is σ = 122121322123302. Its totient is φ = 122121322123300.

The previous prime is 122121322123261. The next prime is 122121322123343. The reversal of 122121322123301 is 103321223121221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67939960204900 + 54181361918401 = 8242570^2 + 7360799^2 .

It is a cyclic number.

It is not a de Polignac number, because 122121322123301 - 2²² = 122121317928997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122121322123901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060661061650 + 61060661061651.

It is an arithmetic number, because the mean of its divisors is an integer number (61060661061651).

Almost surely, 2^{122121322123301} is an apocalyptic number.

It is an amenable number.

122121322123301 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121322123301 is an equidigital number, since it uses as much as digits as its factorization.

122121322123301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 122121322123301 its reverse (103321223121221), we get a palindrome (225442545244522).

The spelling of 122121322123301 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, three hundred twenty-two million, one hundred twenty-three thousand, three hundred one".