212133230242229 has 2 divisors, whose sum is σ = 212133230242230. Its totient is φ = 212133230242228.

The previous prime is 212133230242189. The next prime is 212133230242231. The reversal of 212133230242229 is 922242032331212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204102796467025 + 8030433775204 = 14286455^2 + 2833802^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212133230242229 is a prime.

Together with 212133230242231, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 212133230242192 and 212133230242201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212133230242529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106066615121114 + 106066615121115.

It is an arithmetic number, because the mean of its divisors is an integer number (106066615121115).

Almost surely, 2^{212133230242229} is an apocalyptic number.

It is an amenable number.

212133230242229 is a deficient number, since it is larger than the sum of its proper divisors (1).

212133230242229 is an equidigital number, since it uses as much as digits as its factorization.

212133230242229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 212133230242229 in words is "two hundred twelve trillion, one hundred thirty-three billion, two hundred thirty million, two hundred forty-two thousand, two hundred twenty-nine".