122011212100121 has 2 divisors, whose sum is σ = 122011212100122. Its totient is φ = 122011212100120.

The previous prime is 122011212100111. The next prime is 122011212100153. The reversal of 122011212100121 is 121001212110221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76311056784400 + 45700155315721 = 8735620^2 + 6760189^2 .

It is an emirp because it is prime and its reverse (121001212110221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122011212100121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122011212100121.

It is not a weakly prime, because it can be changed into another prime (122011212100111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61005606050060 + 61005606050061.

It is an arithmetic number, because the mean of its divisors is an integer number (61005606050061).

Almost surely, 2^{122011212100121} is an apocalyptic number.

It is an amenable number.

122011212100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122011212100121 is an equidigital number, since it uses as much as digits as its factorization.

122011212100121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 122011212100121 its reverse (121001212110221), we get a palindrome (243012424210342).

The spelling of 122011212100121 in words is "one hundred twenty-two trillion, eleven billion, two hundred twelve million, one hundred thousand, one hundred twenty-one".