110111121003 has 32 divisors (see below), whose sum is σ = 163602432000. Its totient is φ = 65407257216.

The previous prime is 110111120969. The next prime is 110111121031. The reversal of 110111121003 is 300121111011.

It is a de Polignac number, because none of the positive numbers 2^k-110111121003 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110111121003.

It is not an unprimeable number, because it can be changed into a prime (110111122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5417526 + ... + 5437812.

It is an arithmetic number, because the mean of its divisors is an integer number (5112576000).

Almost surely, 2^110111121003 is an apocalyptic number.

110111121003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

110111121003 is a deficient number, since it is larger than the sum of its proper divisors (53491310997).

110111121003 is a wasteful number, since it uses less digits than its factorization.

110111121003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25131.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 110111121003 its reverse (300121111011), we get a palindrome (410232232014).

The spelling of 110111121003 in words is "one hundred ten billion, one hundred eleven million, one hundred twenty-one thousand, three".