1032103221024 has 384 divisors, whose sum is σ = 2917924466688. Its totient is φ = 318726144000.

The previous prime is 1032103220947. The next prime is 1032103221049. The reversal of 1032103221024 is 4201223012301.

It is an unprimeable number.

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 in 63 ways as a sum of consecutive naturals, for example, 3924346717 + ... + 3924346979.

It is an arithmetic number, because the mean of its divisors is an integer number (7598761632).

Almost surely, 2^{1032103221024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032103221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458962233344).

1032103221024 is an abundant number, since it is smaller than the sum of its proper divisors (1885821245664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1032103221024 is a wasteful number, since it uses less digits than its factorization.

1032103221024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 712 counting only the distinct ones).

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

Adding to 1032103221024 its reverse (4201223012301), we get a palindrome (5233326233325).

The spelling of 1032103221024 in words is "one trillion, thirty-two billion, one hundred three million, two hundred twenty-one thousand, twenty-four".