1003003010100 has 432 divisors, whose sum is σ = 3893152961152. Its totient is φ = 210321515520.

The previous prime is 1003003010099. The next prime is 1003003010137. The reversal of 1003003010100 is 10103003001.

1003003010100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13312134 + ... + 13387266.

Almost surely, 2^{1003003010100} is an apocalyptic number.

1003003010100 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 1003003010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946576480576).

1003003010100 is an abundant number, since it is smaller than the sum of its proper divisors (2890149951052).

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

1003003010100 is a wasteful number, since it uses less digits than its factorization.

1003003010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75336 (or 75326 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 1003003010100 its reverse (10103003001), we get a palindrome (1013106013101).

The spelling of 1003003010100 in words is "one trillion, three billion, three million, ten thousand, one hundred".