1003032112100 has 18 divisors (see below), whose sum is σ = 2176579683474. Its totient is φ = 401212844800.

The previous prime is 1003032112081. The next prime is 1003032112151. The reversal of 1003032112100 is 12112303001.

It can be written as a sum of positive squares in 3 ways, for example, as 236174616484 + 766857495616 = 485978^2 + 875704^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5015160461 + ... + 5015160660.

Almost surely, 2^{1003032112100} is an apocalyptic number.

1003032112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003032112100 is an abundant number, since it is smaller than the sum of its proper divisors (1173547571374).

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

1003032112100 is a wasteful number, since it uses less digits than its factorization.

1003032112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10030321135 (or 10030321128 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1003032112100 its reverse (12112303001), we get a palindrome (1015144415101).

The spelling of 1003032112100 in words is "one trillion, three billion, thirty-two million, one hundred twelve thousand, one hundred".