101111103 has 24 divisors (see below), whose sum is σ = 157322880. Its totient is φ = 62370000.

The previous prime is 101111071. The next prime is 101111111. The reversal of 101111103 is 301111101.

It is not a de Polignac number, because 101111103 - 2⁵ = 101111071 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478 + ... + 14228.

It is an arithmetic number, because the mean of its divisors is an integer number (6555120).

Almost surely, 2^101111103 is an apocalyptic number.

101111103 is a deficient number, since it is larger than the sum of its proper divisors (56211777).

101111103 is a wasteful number, since it uses less digits than its factorization.

101111103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13819 (or 13816 counting only the distinct ones).

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

The square root of 101111103 is about 10055.4016826778. The cubic root of 101111103 is about 465.8716498305.

Adding to 101111103 its reverse (301111101), we get a palindrome (402222204).

The spelling of 101111103 in words is "one hundred one million, one hundred eleven thousand, one hundred three".