122121200020201 has 2 divisors, whose sum is σ = 122121200020202. Its totient is φ = 122121200020200.

The previous prime is 122121200020091. The next prime is 122121200020327. The reversal of 122121200020201 is 102020002121221.

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., 74882369971600 + 47238830048601 = 8653460^2 + 6873051^2 .

It is a cyclic number.

It is not a de Polignac number, because 122121200020201 - 2⁷ = 122121200020073 is a prime.

It is not a weakly prime, because it can be changed into another prime (122121200020901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060600010100 + 61060600010101.

It is an arithmetic number, because the mean of its divisors is an integer number (61060600010101).

Almost surely, 2^{122121200020201} is an apocalyptic number.

It is an amenable number.

122121200020201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121200020201 is an equidigital number, since it uses as much as digits as its factorization.

122121200020201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122121200020201 its reverse (102020002121221), we get a palindrome (224141202141422).

The spelling of 122121200020201 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two hundred million, twenty thousand, two hundred one".