1001003321010 has 256 divisors, whose sum is σ = 3094119088128. Its totient is φ = 201141964800.

The previous prime is 1001003320969. The next prime is 1001003321033. The reversal of 1001003321010 is 101233001001.

It is a Curzon number.

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 127 ways as a sum of consecutive naturals, for example, 114356794 + ... + 114365546.

It is an arithmetic number, because the mean of its divisors is an integer number (12086402688).

Almost surely, 2^{1001003321010} is an apocalyptic number.

1001003321010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001003321010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547059544064).

1001003321010 is an abundant number, since it is smaller than the sum of its proper divisors (2093115767118).

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

1001003321010 is a wasteful number, since it uses less digits than its factorization.

1001003321010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10409.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1001003321010 its reverse (101233001001), we get a palindrome (1102236322011).

The spelling of 1001003321010 in words is "one trillion, one billion, three million, three hundred twenty-one thousand, ten".