2212120202161 has 2 divisors, whose sum is σ = 2212120202162. Its totient is φ = 2212120202160.

The previous prime is 2212120202137. The next prime is 2212120202179. The reversal of 2212120202161 is 1612020212122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1649282651536 + 562837550625 = 1284244^2 + 750225^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212120202161 - 2³⁹ = 1662364388273 is a prime.

It is not a weakly prime, because it can be changed into another prime (2212120242161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106060101080 + 1106060101081.

It is an arithmetic number, because the mean of its divisors is an integer number (1106060101081).

Almost surely, 2^{2212120202161} is an apocalyptic number.

It is an amenable number.

2212120202161 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212120202161 is an equidigital number, since it uses as much as digits as its factorization.

2212120202161 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 2212120202161 its reverse (1612020212122), we get a palindrome (3824140414283).

The spelling of 2212120202161 in words is "two trillion, two hundred twelve billion, one hundred twenty million, two hundred two thousand, one hundred sixty-one".