1001000330200 has 192 divisors, whose sum is σ = 2603662729920. Its totient is φ = 355504128000.

The previous prime is 1001000330189. The next prime is 1001000330227. The reversal of 1001000330200 is 20330001001.

It is a super-2 number, since 2×1001000330200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 7502472 + ... + 7634728.

It is an arithmetic number, because the mean of its divisors is an integer number (13560743385).

Almost surely, 2^{1001000330200} is an apocalyptic number.

1001000330200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001000330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301831364960).

1001000330200 is an abundant number, since it is smaller than the sum of its proper divisors (1602662399720).

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

1001000330200 is a wasteful number, since it uses less digits than its factorization.

1001000330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132398 (or 132389 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 1001000330200 its reverse (20330001001), we get a palindrome (1021330331201).

The spelling of 1001000330200 in words is "one trillion, one billion, three hundred thirty thousand, two hundred".