1009100019103 has 8 divisors (see below), whose sum is σ = 1100863895040. Its totient is φ = 917340728280.

The previous prime is 1009100019097. The next prime is 1009100019119. The reversal of 1009100019103 is 3019100019001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1009100019103 - 2¹³ = 1009100010911 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009100019133) 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 7 ways as a sum of consecutive naturals, for example, 677775 + ... + 1574032.

It is an arithmetic number, because the mean of its divisors is an integer number (137607986880).

Almost surely, 2^{1009100019103} is an apocalyptic number.

1009100019103 is a deficient number, since it is larger than the sum of its proper divisors (91763875937).

1009100019103 is a wasteful number, since it uses less digits than its factorization.

1009100019103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292557.

The product of its (nonzero) digits is 243, while the sum is 25.

The spelling of 1009100019103 in words is "one trillion, nine billion, one hundred million, nineteen thousand, one hundred three".