221321032123229 has 2 divisors, whose sum is σ = 221321032123230. Its totient is φ = 221321032123228.

The previous prime is 221321032123183. The next prime is 221321032123297. The reversal of 221321032123229 is 922321230123122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 188580869625625 + 32740162497604 = 13732475^2 + 5721902^2 .

It is a cyclic number.

It is not a de Polignac number, because 221321032123229 - 2⁴⁰ = 220221520495453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221321032120229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110660516061614 + 110660516061615.

It is an arithmetic number, because the mean of its divisors is an integer number (110660516061615).

Almost surely, 2^{221321032123229} is an apocalyptic number.

It is an amenable number.

221321032123229 is a deficient number, since it is larger than the sum of its proper divisors (1).

221321032123229 is an equidigital number, since it uses as much as digits as its factorization.

221321032123229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 221321032123229 in words is "two hundred twenty-one trillion, three hundred twenty-one billion, thirty-two million, one hundred twenty-three thousand, two hundred twenty-nine".