212210002133 has 2 divisors, whose sum is σ = 212210002134. Its totient is φ = 212210002132.

The previous prime is 212210002093. The next prime is 212210002153. The reversal of 212210002133 is 331200012212.

212210002133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168052443364 + 44157558769 = 409942^2 + 210137^2 .

It is a cyclic number.

It is not a de Polignac number, because 212210002133 - 2⁸ = 212210001877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212210002153) 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, 106105001066 + 106105001067.

It is an arithmetic number, because the mean of its divisors is an integer number (106105001067).

Almost surely, 2^212210002133 is an apocalyptic number.

It is an amenable number.

212210002133 is a deficient number, since it is larger than the sum of its proper divisors (1).

212210002133 is an equidigital number, since it uses as much as digits as its factorization.

212210002133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 212210002133 its reverse (331200012212), we get a palindrome (543410014345).

The spelling of 212210002133 in words is "two hundred twelve billion, two hundred ten million, two thousand, one hundred thirty-three".