10001111103 has 6 divisors (see below), whose sum is σ = 14446049384. Its totient is φ = 6667407396.

The previous prime is 10001111093. The next prime is 10001111123. The reversal of 10001111103 is 30111110001.

10001111103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10001111103 - 2⁶ = 10001111039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1111234567 = 10001111103 / (1 + 0 + 0 + 0 + 1 + 1 + 1 + 1 + 1 + 0 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001111123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555617275 + ... + 555617292.

Almost surely, 2^10001111103 is an apocalyptic number.

10001111103 is a deficient number, since it is larger than the sum of its proper divisors (4444938281).

10001111103 is a wasteful number, since it uses less digits than its factorization.

10001111103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111234573 (or 1111234570 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10001111103 its reverse (30111110001), we get a palindrome (40112221104).

It can be divided in two parts, 10001 and 111103, that added together give a square (121104 = 348²).

The spelling of 10001111103 in words is "ten billion, one million, one hundred eleven thousand, one hundred three".