2012000212121 has 2 divisors, whose sum is σ = 2012000212122. Its totient is φ = 2012000212120.

The previous prime is 2012000212099. The next prime is 2012000212129. The reversal of 2012000212121 is 1212120002102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2009036934025 + 2963278096 = 1417405^2 + 54436^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012000212121 - 2¹⁸ = 2011999949977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2012000212096 and 2012000212105.

It is not a weakly prime, because it can be changed into another prime (2012000212129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006000106060 + 1006000106061.

It is an arithmetic number, because the mean of its divisors is an integer number (1006000106061).

Almost surely, 2^{2012000212121} is an apocalyptic number.

It is an amenable number.

2012000212121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012000212121 is an equidigital number, since it uses as much as digits as its factorization.

2012000212121 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 2012000212121 its reverse (1212120002102), we get a palindrome (3224120214223).

The spelling of 2012000212121 in words is "two trillion, twelve billion, two hundred twelve thousand, one hundred twenty-one".