202122200200121 has 2 divisors, whose sum is σ = 202122200200122. Its totient is φ = 202122200200120.

The previous prime is 202122200200079. The next prime is 202122200200213. The reversal of 202122200200121 is 121002002221202.

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., 149450893950121 + 52671306250000 = 12225011^2 + 7257500^2 .

It is a cyclic number.

It is not a de Polignac number, because 202122200200121 - 2⁴² = 197724153689017 is a prime.

It is a super-2 number, since 2×202122200200121² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 202122200200121.

It is not a weakly prime, because it can be changed into another prime (202122200260121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101061100100060 + 101061100100061.

It is an arithmetic number, because the mean of its divisors is an integer number (101061100100061).

Almost surely, 2^{202122200200121} is an apocalyptic number.

It is an amenable number.

202122200200121 is a deficient number, since it is larger than the sum of its proper divisors (1).

202122200200121 is an equidigital number, since it uses as much as digits as its factorization.

202122200200121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 202122200200121 its reverse (121002002221202), we get a palindrome (323124202421323).

The spelling of 202122200200121 in words is "two hundred two trillion, one hundred twenty-two billion, two hundred million, two hundred thousand, one hundred twenty-one".