1001000330100 has 432 divisors, whose sum is σ = 3411319161600. Its totient is φ = 251767595520.

The previous prime is 1001000330089. The next prime is 1001000330123. The reversal of 1001000330100 is 10330001001.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 143 ways as a sum of consecutive naturals, for example, 232951152 + ... + 232955448.

Almost surely, 2^{1001000330100} is an apocalyptic number.

1001000330100 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 1001000330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705659580800).

1001000330100 is an abundant number, since it is smaller than the sum of its proper divisors (2410318831500).

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

1001000330100 is a wasteful number, since it uses less digits than its factorization.

1001000330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4597 (or 4565 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 1001000330100 its reverse (10330001001), we get a palindrome (1011330331101).

The spelling of 1001000330100 in words is "one trillion, one billion, three hundred thirty thousand, one hundred".