2212121100221 has 2 divisors, whose sum is σ = 2212121100222. Its totient is φ = 2212121100220.

The previous prime is 2212121100193. The next prime is 2212121100253. The reversal of 2212121100221 is 1220011212122.

2212121100221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1985534628100 + 226586472121 = 1409090^2 + 476011^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212121100221 - 2³⁰ = 2211047358397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2212121100221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2212121100271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106060550110 + 1106060550111.

It is an arithmetic number, because the mean of its divisors is an integer number (1106060550111).

Almost surely, 2^{2212121100221} is an apocalyptic number.

It is an amenable number.

2212121100221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212121100221 is an equidigital number, since it uses as much as digits as its factorization.

2212121100221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2212121100221 its reverse (1220011212122), we get a palindrome (3432132312343).

The spelling of 2212121100221 in words is "two trillion, two hundred twelve billion, one hundred twenty-one million, one hundred thousand, two hundred twenty-one".