212212202161 has 2 divisors, whose sum is σ = 212212202162. Its totient is φ = 212212202160.

The previous prime is 212212202159. The next prime is 212212202281. The reversal of 212212202161 is 161202212212.

212212202161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124340864400 + 87871337761 = 352620^2 + 296431^2 .

It is a cyclic number.

It is not a de Polignac number, because 212212202161 - 2¹ = 212212202159 is a prime.

It is a super-2 number, since 2×212212202161² (a number of 23 digits) contains 22 as substring.

Together with 212212202159, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (212212208161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106106101080 + 106106101081.

It is an arithmetic number, because the mean of its divisors is an integer number (106106101081).

Almost surely, 2^212212202161 is an apocalyptic number.

It is an amenable number.

212212202161 is a deficient number, since it is larger than the sum of its proper divisors (1).

212212202161 is an equidigital number, since it uses as much as digits as its factorization.

212212202161 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 212212202161 its reverse (161202212212), we get a palindrome (373414414373).

The spelling of 212212202161 in words is "two hundred twelve billion, two hundred twelve million, two hundred two thousand, one hundred sixty-one".