22111100111105 has 8 divisors (see below), whose sum is σ = 26590876145064. Its totient is φ = 17650509414400.

The previous prime is 22111100111069. The next prime is 22111100111129. The reversal of 22111100111105 is 50111100111122.

It can be written as a sum of positive squares in 4 ways, for example, as 1906012181056 + 20205087930049 = 1380584^2 + 4495007^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 22111100111105 - 2⁶ = 22111100111041 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4796331776 + ... + 4796336385.

It is an arithmetic number, because the mean of its divisors is an integer number (3323859518133).

Almost surely, 2^{22111100111105} is an apocalyptic number.

It is an amenable number.

22111100111105 is a deficient number, since it is larger than the sum of its proper divisors (4479776033959).

22111100111105 is an equidigital number, since it uses as much as digits as its factorization.

22111100111105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9592668627.

The product of its (nonzero) digits is 20, while the sum is 17.

Adding to 22111100111105 its sum of digits (17), we get a palindrome (22111100111122).

Adding to 22111100111105 its reverse (50111100111122), we get a palindrome (72222200222227).

The spelling of 22111100111105 in words is "twenty-two trillion, one hundred eleven billion, one hundred million, one hundred eleven thousand, one hundred five".