1020221322321 has 16 divisors (see below), whose sum is σ = 1391347235520. Its totient is φ = 664754750400.

The previous prime is 1020221322293. The next prime is 1020221322413. The reversal of 1020221322321 is 1232231220201.

It is not a de Polignac number, because 1020221322321 - 2¹⁹ = 1020220798033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020221332321) 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 in 15 ways as a sum of consecutive naturals, for example, 16628230 + ... + 16689471.

It is an arithmetic number, because the mean of its divisors is an integer number (86959202220).

Almost surely, 2^{1020221322321} is an apocalyptic number.

It is an amenable number.

1020221322321 is a deficient number, since it is larger than the sum of its proper divisors (371125913199).

1020221322321 is a wasteful number, since it uses less digits than its factorization.

1020221322321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33317936.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1020221322321 its reverse (1232231220201), we get a palindrome (2252452542522).

The spelling of 1020221322321 in words is "one trillion, twenty billion, two hundred twenty-one million, three hundred twenty-two thousand, three hundred twenty-one".