10003001103200 has 144 divisors (see below), whose sum is σ = 29550042363744. Its totient is φ = 3227859148800.

The previous prime is 10003001103181. The next prime is 10003001103203. The reversal of 10003001103200 is 230110030001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003001103203) 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 23 ways as a sum of consecutive naturals, for example, 52441571 + ... + 52631970.

It is an arithmetic number, because the mean of its divisors is an integer number (205208627526).

Almost surely, 2^{10003001103200} is an apocalyptic number.

10003001103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003001103200 is an abundant number, since it is smaller than the sum of its proper divisors (19547041260544).

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

10003001103200 is a wasteful number, since it uses less digits than its factorization.

10003001103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105073585 (or 105073572 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10003001103200 its reverse (230110030001), we get a palindrome (10233111133201).

The spelling of 10003001103200 in words is "ten trillion, three billion, one million, one hundred three thousand, two hundred".