1001221320224 has 96 divisors (see below), whose sum is σ = 2002376376000. Its totient is φ = 492762424320.

The previous prime is 1001221320199. The next prime is 1001221320247. The reversal of 1001221320224 is 4220231221001.

It is a junction number, because it is equal to n+sod(n) for n = 1001221320196 and 1001221320205.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 264941567 + ... + 264945345.

It is an arithmetic number, because the mean of its divisors is an integer number (20858087250).

Almost surely, 2^{1001221320224} is an apocalyptic number.

It is an amenable number.

1001221320224 is a deficient number, since it is larger than the sum of its proper divisors (1001155055776).

1001221320224 is a wasteful number, since it uses less digits than its factorization.

1001221320224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1001221320224 its reverse (4220231221001), we get a palindrome (5221452541225).

The spelling of 1001221320224 in words is "one trillion, one billion, two hundred twenty-one million, three hundred twenty thousand, two hundred twenty-four".