10003001200 has 60 divisors (see below), whose sum is σ = 24165159928. Its totient is φ = 3979065600.

The previous prime is 10003001179. The next prime is 10003001207. The reversal of 10003001200 is 210030001.

10003001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003001207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3319 + ... + 141481.

Almost surely, 2^10003001200 is an apocalyptic number.

10003001200 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 10003001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12082579964).

10003001200 is an abundant number, since it is smaller than the sum of its proper divisors (14162158728).

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

10003001200 is a wasteful number, since it uses less digits than its factorization.

10003001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138362 (or 138351 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 10003001200 its reverse (210030001), we get a palindrome (10213031201).

The spelling of 10003001200 in words is "ten billion, three million, one thousand, two hundred".