221204441400329 has 2 divisors, whose sum is σ = 221204441400330. Its totient is φ = 221204441400328.

The previous prime is 221204441400301. The next prime is 221204441400347. The reversal of 221204441400329 is 923004144402122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 181607966440000 + 39596474960329 = 13476200^2 + 6292573^2 .

It is a cyclic number.

It is not a de Polignac number, because 221204441400329 - 2⁸ = 221204441400073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221204441400292 and 221204441400301.

It is not a weakly prime, because it can be changed into another prime (221204441405329) 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, 110602220700164 + 110602220700165.

It is an arithmetic number, because the mean of its divisors is an integer number (110602220700165).

Almost surely, 2^{221204441400329} is an apocalyptic number.

It is an amenable number.

221204441400329 is a deficient number, since it is larger than the sum of its proper divisors (1).

221204441400329 is an equidigital number, since it uses as much as digits as its factorization.

221204441400329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 221204441400329 in words is "two hundred twenty-one trillion, two hundred four billion, four hundred forty-one million, four hundred thousand, three hundred twenty-nine".