10003103123200 has 216 divisors, whose sum is σ = 27014840939520. Its totient is φ = 3636851404800.

The previous prime is 10003103123197. The next prime is 10003103123201. The reversal of 10003103123200 is 232130130001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003103123201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612964641 + ... + 612980959.

Almost surely, 2^{10003103123200} is an apocalyptic number.

10003103123200 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 10003103123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13507420469760).

10003103123200 is an abundant number, since it is smaller than the sum of its proper divisors (17011737816320).

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

10003103123200 is a wasteful number, since it uses less digits than its factorization.

10003103123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25063 (or 25044 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10003103123200 its reverse (232130130001), we get a palindrome (10235233253201).

The spelling of 10003103123200 in words is "ten trillion, three billion, one hundred three million, one hundred twenty-three thousand, two hundred".