212121221200249 has 2 divisors, whose sum is σ = 212121221200250. Its totient is φ = 212121221200248.

The previous prime is 212121221200181. The next prime is 212121221200307. The reversal of 212121221200249 is 942002122121212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155858545486224 + 56262675714025 = 12484332^2 + 7500845^2 .

It is a cyclic number.

It is not a de Polignac number, because 212121221200249 - 2⁹ = 212121221199737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212121221200249.

It is not a weakly prime, because it can be changed into another prime (212121221200349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106060610600124 + 106060610600125.

It is an arithmetic number, because the mean of its divisors is an integer number (106060610600125).

Almost surely, 2^{212121221200249} is an apocalyptic number.

It is an amenable number.

212121221200249 is a deficient number, since it is larger than the sum of its proper divisors (1).

212121221200249 is an equidigital number, since it uses as much as digits as its factorization.

212121221200249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 212121221200249 in words is "two hundred twelve trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred thousand, two hundred forty-nine".