122121202121 has 2 divisors, whose sum is σ = 122121202122. Its totient is φ = 122121202120.

The previous prime is 122121202111. The next prime is 122121202153. The reversal of 122121202121 is 121202121221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86650753225 + 35470448896 = 294365^2 + 188336^2 .

It is an emirp because it is prime and its reverse (121202121221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122121202121 - 2²⁶ = 122054093257 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122121202121.

It is not a weakly prime, because it can be changed into another prime (122121202111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060601060 + 61060601061.

It is an arithmetic number, because the mean of its divisors is an integer number (61060601061).

Almost surely, 2^122121202121 is an apocalyptic number.

It is an amenable number.

122121202121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121202121 is an equidigital number, since it uses as much as digits as its factorization.

122121202121 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 17.

Adding to 122121202121 its reverse (121202121221), we get a palindrome (243323323342).

The spelling of 122121202121 in words is "one hundred twenty-two billion, one hundred twenty-one million, two hundred two thousand, one hundred twenty-one".