2003103000100 has 144 divisors (see below), whose sum is σ = 4526485286400. Its totient is φ = 768799180800.

The previous prime is 2003103000037. The next prime is 2003103000181. The reversal of 2003103000100 is 10003013002.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226360476 + ... + 226369324.

It is an arithmetic number, because the mean of its divisors is an integer number (31433925600).

Almost surely, 2^{2003103000100} is an apocalyptic number.

2003103000100 is a gapful number since it is divisible by the number (20) 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 2003103000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263242643200).

2003103000100 is an abundant number, since it is smaller than the sum of its proper divisors (2523382286300).

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

2003103000100 is a wasteful number, since it uses less digits than its factorization.

2003103000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9830 (or 9823 counting only the distinct ones).

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

Adding to 2003103000100 its reverse (10003013002), we get a palindrome (2013106013102).

The spelling of 2003103000100 in words is "two trillion, three billion, one hundred three million, one hundred", and thus it is an aban number.