122121212212201 has 2 divisors, whose sum is σ = 122121212212202. Its totient is φ = 122121212212200.

The previous prime is 122121212212163. The next prime is 122121212212211. The reversal of 122121212212201 is 102212212121221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120968432059225 + 1152780152976 = 10998565^2 + 1073676^2 .

It is a cyclic number.

It is not a de Polignac number, because 122121212212201 - 2⁹ = 122121212211689 is a prime.

It is not a weakly prime, because it can be changed into another prime (122121212212211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060606106100 + 61060606106101.

It is an arithmetic number, because the mean of its divisors is an integer number (61060606106101).

Almost surely, 2^{122121212212201} is an apocalyptic number.

It is an amenable number.

122121212212201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121212212201 is an equidigital number, since it uses as much as digits as its factorization.

122121212212201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 122121212212201 its reverse (102212212121221), we get a palindrome (224333424333422).

The spelling of 122121212212201 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two hundred twelve million, two hundred twelve thousand, two hundred one".