212001200002121 has 2 divisors, whose sum is σ = 212001200002122. Its totient is φ = 212001200002120.

The previous prime is 212001200002087. The next prime is 212001200002129. The reversal of 212001200002121 is 121200002100212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211918942894096 + 82257108025 = 14557436^2 + 286805^2 .

It is a cyclic number.

It is not a de Polignac number, because 212001200002121 - 2¹⁸ = 212001199739977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212001200002096 and 212001200002105.

It is not a weakly prime, because it can be changed into another prime (212001200002129) 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, 106000600001060 + 106000600001061.

It is an arithmetic number, because the mean of its divisors is an integer number (106000600001061).

Almost surely, 2^{212001200002121} is an apocalyptic number.

It is an amenable number.

212001200002121 is a deficient number, since it is larger than the sum of its proper divisors (1).

212001200002121 is an equidigital number, since it uses as much as digits as its factorization.

212001200002121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212001200002121 its reverse (121200002100212), we get a palindrome (333201202102333).

The spelling of 212001200002121 in words is "two hundred twelve trillion, one billion, two hundred million, two thousand, one hundred twenty-one".