1001100000103 has 48 divisors (see below), whose sum is σ = 1225007884800. Its totient is φ = 814153032000.

The previous prime is 1001100000077. The next prime is 1001100000113. The reversal of 1001100000103 is 3010000011001.

It is a happy number.

It is not a de Polignac number, because 1001100000103 - 2³⁷ = 863661046631 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001100000113) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 136181878 + ... + 136189228.

It is an arithmetic number, because the mean of its divisors is an integer number (25520997600).

Almost surely, 2^{1001100000103} is an apocalyptic number.

1001100000103 is a deficient number, since it is larger than the sum of its proper divisors (223907884697).

1001100000103 is a wasteful number, since it uses less digits than its factorization.

1001100000103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8348 (or 8341 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 1001100000103 its reverse (3010000011001), we get a palindrome (4011100011104).

The spelling of 1001100000103 in words is "one trillion, one billion, one hundred million, one hundred three", and thus it is an aban number.