1003321001221 has 24 divisors (see below), whose sum is σ = 1315168912512. Its totient is φ = 747816880800.

The previous prime is 1003321001213. The next prime is 1003321001227. The reversal of 1003321001221 is 1221001233001.

It is not a de Polignac number, because 1003321001221 - 2³ = 1003321001213 is a prime.

It is a super-2 number, since 2×1003321001221² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003321001195 and 1003321001204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003321001227) 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 in 23 ways as a sum of consecutive naturals, for example, 25731790 + ... + 25770751.

It is an arithmetic number, because the mean of its divisors is an integer number (54798704688).

Almost surely, 2^{1003321001221} is an apocalyptic number.

1003321001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1003321001221 is a deficient number, since it is larger than the sum of its proper divisors (311847911291).

1003321001221 is a wasteful number, since it uses less digits than its factorization.

1003321001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51502593 (or 51502582 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1003321001221 its reverse (1221001233001), we get a palindrome (2224322234222).

The spelling of 1003321001221 in words is "one trillion, three billion, three hundred twenty-one million, one thousand, two hundred twenty-one".