2201103110321 has 2 divisors, whose sum is σ = 2201103110322. Its totient is φ = 2201103110320.

The previous prime is 2201103110293. The next prime is 2201103110329. The reversal of 2201103110321 is 1230113011022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2093577486400 + 107525623921 = 1446920^2 + 327911^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201103110321 - 2¹⁰ = 2201103109297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2201103110321.

It is not a weakly prime, because it can be changed into another prime (2201103110329) 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, 1100551555160 + 1100551555161.

It is an arithmetic number, because the mean of its divisors is an integer number (1100551555161).

Almost surely, 2^{2201103110321} is an apocalyptic number.

It is an amenable number.

2201103110321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201103110321 is an equidigital number, since it uses as much as digits as its factorization.

2201103110321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2201103110321 its reverse (1230113011022), we get a palindrome (3431216121343).

The spelling of 2201103110321 in words is "two trillion, two hundred one billion, one hundred three million, one hundred ten thousand, three hundred twenty-one".