2003103332100 has 144 divisors (see below), whose sum is σ = 6934960717440. Its totient is φ = 493071580800.

The previous prime is 2003103332081. The next prime is 2003103332177. The reversal of 2003103332100 is 12333013002.

2003103332100 is a `hidden beast` number, since 2 + 0 + 0 + 310 + 33 + 321 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 28499136 + ... + 28569335.

Almost surely, 2^{2003103332100} is an apocalyptic number.

2003103332100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003103332100 is an abundant number, since it is smaller than the sum of its proper divisors (4931857385340).

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

2003103332100 is a wasteful number, since it uses less digits than its factorization.

2003103332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57068507 (or 57068494 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 2003103332100 its reverse (12333013002), we get a palindrome (2015436345102).

The spelling of 2003103332100 in words is "two trillion, three billion, one hundred three million, three hundred thirty-two thousand, one hundred".