1003110100200 has 144 divisors (see below), whose sum is σ = 3627914947020. Its totient is φ = 246919403520.

The previous prime is 1003110100163. The next prime is 1003110100207. The reversal of 1003110100200 is 20010113001.

It can be written as a sum of positive squares in 6 ways, for example, as 281177788644 + 721932311556 = 530262^2 + 849666^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1003110100207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21410577 + ... + 21457376.

Almost surely, 2^{1003110100200} is an apocalyptic number.

1003110100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003110100200 is an abundant number, since it is smaller than the sum of its proper divisors (2624804846820).

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

1003110100200 is a wasteful number, since it uses less digits than its factorization.

1003110100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42867988 (or 42867976 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1003110100200 its reverse (20010113001), we get a palindrome (1023120213201).

The spelling of 1003110100200 in words is "one trillion, three billion, one hundred ten million, one hundred thousand, two hundred".