1003003012100 has 36 divisors (see below), whose sum is σ = 2229602314548. Its totient is φ = 391415808000.

The previous prime is 1003003012091. The next prime is 1003003012181. The reversal of 1003003012100 is 12103003001.

It can be written as a sum of positive squares in 6 ways, for example, as 1718599936 + 1001284412164 = 41456^2 + 1000642^2 .

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 11 ways as a sum of consecutive naturals, for example, 122313341 + ... + 122321540.

Almost surely, 2^{1003003012100} is an apocalyptic number.

1003003012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003003012100 is an abundant number, since it is smaller than the sum of its proper divisors (1226599302448).

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

1003003012100 is a wasteful number, since it uses less digits than its factorization.

1003003012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244634936 (or 244634929 counting only the distinct ones).

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

Adding to 1003003012100 its reverse (12103003001), we get a palindrome (1015106015101).

Subtracting from 1003003012100 its reverse (12103003001), we obtain a palindrome (990900009099).

The spelling of 1003003012100 in words is "one trillion, three billion, three million, twelve thousand, one hundred".