202200021122161 has 2 divisors, whose sum is σ = 202200021122162. Its totient is φ = 202200021122160.

The previous prime is 202200021122159. The next prime is 202200021122173. The reversal of 202200021122161 is 161221120002202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 186400040065600 + 15799981056561 = 13652840^2 + 3974919^2 .

It is a cyclic number.

It is not a de Polignac number, because 202200021122161 - 2¹ = 202200021122159 is a prime.

Together with 202200021122159, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (202200028122161) 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, 101100010561080 + 101100010561081.

It is an arithmetic number, because the mean of its divisors is an integer number (101100010561081).

Almost surely, 2^{202200021122161} is an apocalyptic number.

It is an amenable number.

202200021122161 is a deficient number, since it is larger than the sum of its proper divisors (1).

202200021122161 is an equidigital number, since it uses as much as digits as its factorization.

202200021122161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 202200021122161 its reverse (161221120002202), we get a palindrome (363421141124363).

The spelling of 202200021122161 in words is "two hundred two trillion, two hundred billion, twenty-one million, one hundred twenty-two thousand, one hundred sixty-one".