212122112020201 has 2 divisors, whose sum is σ = 212122112020202. Its totient is φ = 212122112020200.

The previous prime is 212122112020183. The next prime is 212122112020271. The reversal of 212122112020201 is 102020211221212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 167649538682025 + 44472573338176 = 12947955^2 + 6668776^2 .

It is a cyclic number.

It is not a de Polignac number, because 212122112020201 - 2¹¹ = 212122112018153 is a prime.

It is not a weakly prime, because it can be changed into another prime (212122112020271) 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, 106061056010100 + 106061056010101.

It is an arithmetic number, because the mean of its divisors is an integer number (106061056010101).

Almost surely, 2^{212122112020201} is an apocalyptic number.

It is an amenable number.

212122112020201 is a deficient number, since it is larger than the sum of its proper divisors (1).

212122112020201 is an equidigital number, since it uses as much as digits as its factorization.

212122112020201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 212122112020201 its reverse (102020211221212), we get a palindrome (314142323241413).

The spelling of 212122112020201 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred twelve million, twenty thousand, two hundred one".