221112011220329 has 2 divisors, whose sum is σ = 221112011220330. Its totient is φ = 221112011220328.

The previous prime is 221112011220203. The next prime is 221112011220391. The reversal of 221112011220329 is 923022110211122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206499342907225 + 14612668313104 = 14370085^2 + 3822652^2 .

It is a cyclic number.

It is not a de Polignac number, because 221112011220329 - 2²⁰ = 221112010171753 is a prime.

It is not a weakly prime, because it can be changed into another prime (221112011220029) 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, 110556005610164 + 110556005610165.

It is an arithmetic number, because the mean of its divisors is an integer number (110556005610165).

Almost surely, 2^{221112011220329} is an apocalyptic number.

It is an amenable number.

221112011220329 is a deficient number, since it is larger than the sum of its proper divisors (1).

221112011220329 is an equidigital number, since it uses as much as digits as its factorization.

221112011220329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 221112011220329 in words is "two hundred twenty-one trillion, one hundred twelve billion, eleven million, two hundred twenty thousand, three hundred twenty-nine".