212122002211081 has 2 divisors, whose sum is σ = 212122002211082. Its totient is φ = 212122002211080.

The previous prime is 212122002211073. The next prime is 212122002211103. The reversal of 212122002211081 is 180112200221212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117793230921081 + 94328771290000 = 10853259^2 + 9712300^2 .

It is a cyclic number.

It is not a de Polignac number, because 212122002211081 - 2³ = 212122002211073 is a prime.

It is a super-3 number, since 3×212122002211081³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (212122002214081) 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, 106061001105540 + 106061001105541.

It is an arithmetic number, because the mean of its divisors is an integer number (106061001105541).

Almost surely, 2^{212122002211081} is an apocalyptic number.

It is an amenable number.

212122002211081 is a deficient number, since it is larger than the sum of its proper divisors (1).

212122002211081 is an equidigital number, since it uses as much as digits as its factorization.

212122002211081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 25.

Adding to 212122002211081 its reverse (180112200221212), we get a palindrome (392234202432293).

The spelling of 212122002211081 in words is "two hundred twelve trillion, one hundred twenty-two billion, two million, two hundred eleven thousand, eighty-one".