110003121 has 12 divisors (see below), whose sum is σ = 159398772. Its totient is φ = 73102176.

The previous prime is 110003087. The next prime is 110003129. The reversal of 110003121 is 121300011.

It can be written as a sum of positive squares in 2 ways, for example, as 18533025 + 91470096 = 4305^2 + 9564^2 .

It is not a de Polignac number, because 110003121 - 2⁶ = 110003057 is a prime.

It is a super-3 number, since 3×110003121³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (110003129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16426 + ... + 22131.

It is an arithmetic number, because the mean of its divisors is an integer number (13283231).

Almost surely, 2^110003121 is an apocalyptic number.

It is an amenable number.

110003121 is a deficient number, since it is larger than the sum of its proper divisors (49395651).

110003121 is a wasteful number, since it uses less digits than its factorization.

110003121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38880 (or 38877 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 110003121 is about 10488.2372684832. The cubic root of 110003121 is about 479.1465171851.

Adding to 110003121 its reverse (121300011), we get a palindrome (231303132).

The spelling of 110003121 in words is "one hundred ten million, three thousand, one hundred twenty-one".