212010220102081 has 2 divisors, whose sum is σ = 212010220102082. Its totient is φ = 212010220102080.

The previous prime is 212010220102049. The next prime is 212010220102199. The reversal of 212010220102081 is 180201022010212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 139763467065600 + 72246753036481 = 11822160^2 + 8499809^2 .

It is a cyclic number.

It is not a de Polignac number, because 212010220102081 - 2⁵ = 212010220102049 is a prime.

It is a super-2 number, since 2×212010220102081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212010220102001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106005110051040 + 106005110051041.

It is an arithmetic number, because the mean of its divisors is an integer number (106005110051041).

Almost surely, 2^{212010220102081} is an apocalyptic number.

It is an amenable number.

212010220102081 is a deficient number, since it is larger than the sum of its proper divisors (1).

212010220102081 is an equidigital number, since it uses as much as digits as its factorization.

212010220102081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 212010220102081 its reverse (180201022010212), we get a palindrome (392211242112293).

The spelling of 212010220102081 in words is "two hundred twelve trillion, ten billion, two hundred twenty million, one hundred two thousand, eighty-one".