2212121302133 has 2 divisors, whose sum is σ = 2212121302134. Its totient is φ = 2212121302132.

The previous prime is 2212121302003. The next prime is 2212121302163. The reversal of 2212121302133 is 3312031212122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2107586773009 + 104534529124 = 1451753^2 + 323318^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212121302133 - 2²⁶ = 2212054193269 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 = 2212121302099 and 2212121302108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2212121302163) 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, 1106060651066 + 1106060651067.

It is an arithmetic number, because the mean of its divisors is an integer number (1106060651067).

Almost surely, 2^{2212121302133} is an apocalyptic number.

It is an amenable number.

2212121302133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212121302133 is an equidigital number, since it uses as much as digits as its factorization.

2212121302133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2212121302133 its reverse (3312031212122), we get a palindrome (5524152514255).

The spelling of 2212121302133 in words is "two trillion, two hundred twelve billion, one hundred twenty-one million, three hundred two thousand, one hundred thirty-three".