10000000011103 has 16 divisors (see below), whose sum is σ = 10246546500480. Its totient is φ = 9756358942176.

The previous prime is 10000000011077. The next prime is 10000000011119. The reversal of 10000000011103 is 30111000000001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000000011103 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 (10000000018103) 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 15 ways as a sum of consecutive naturals, for example, 30325768 + ... + 30653746.

It is an arithmetic number, because the mean of its divisors is an integer number (640409156280).

Almost surely, 2^{10000000011103} is an apocalyptic number.

10000000011103 is a deficient number, since it is larger than the sum of its proper divisors (246546489377).

10000000011103 is a wasteful number, since it uses less digits than its factorization.

10000000011103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332406.

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

Adding to 10000000011103 its reverse (30111000000001), we get a palindrome (40111000011104).

The spelling of 10000000011103 in words is "ten trillion, eleven thousand, one hundred three".