221210222212321 has 2 divisors, whose sum is σ = 221210222212322. Its totient is φ = 221210222212320.

The previous prime is 221210222212271. The next prime is 221210222212337. The reversal of 221210222212321 is 123212222012122.

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., 217237531440400 + 3972690771921 = 14738980^2 + 1993161^2 .

It is a cyclic number.

It is not a de Polignac number, because 221210222212321 - 2⁷ = 221210222212193 is a prime.

It is a super-2 number, since 2×221210222212321² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221210229212321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110605111106160 + 110605111106161.

It is an arithmetic number, because the mean of its divisors is an integer number (110605111106161).

Almost surely, 2^{221210222212321} is an apocalyptic number.

It is an amenable number.

221210222212321 is a deficient number, since it is larger than the sum of its proper divisors (1).

221210222212321 is an equidigital number, since it uses as much as digits as its factorization.

221210222212321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 221210222212321 its reverse (123212222012122), we get a palindrome (344422444224443).

The spelling of 221210222212321 in words is "two hundred twenty-one trillion, two hundred ten billion, two hundred twenty-two million, two hundred twelve thousand, three hundred twenty-one".