2221210122821 has 2 divisors, whose sum is σ = 2221210122822. Its totient is φ = 2221210122820.

The previous prime is 2221210122811. The next prime is 2221210122823. The reversal of 2221210122821 is 1282210121222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2000484928225 + 220725194596 = 1414385^2 + 469814^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221210122821 - 2¹⁸ = 2221209860677 is a prime.

Together with 2221210122823, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221210122823) 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, 1110605061410 + 1110605061411.

It is an arithmetic number, because the mean of its divisors is an integer number (1110605061411).

Almost surely, 2^{2221210122821} is an apocalyptic number.

It is an amenable number.

2221210122821 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221210122821 is an equidigital number, since it uses as much as digits as its factorization.

2221210122821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 2221210122821 in words is "two trillion, two hundred twenty-one billion, two hundred ten million, one hundred twenty-two thousand, eight hundred twenty-one".