111105122401 has 16 divisors (see below), whose sum is σ = 138154516864. Its totient is φ = 87001081344.

The previous prime is 111105122383. The next prime is 111105122473. The reversal of 111105122401 is 104221501111.

It is a cyclic number.

It is not a de Polignac number, because 111105122401 - 2⁹ = 111105121889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111105122101) 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 15 ways as a sum of consecutive naturals, for example, 6284655 + ... + 6302308.

It is an arithmetic number, because the mean of its divisors is an integer number (8634657304).

Almost surely, 2^111105122401 is an apocalyptic number.

It is an amenable number.

111105122401 is a deficient number, since it is larger than the sum of its proper divisors (27049394463).

111105122401 is a wasteful number, since it uses less digits than its factorization.

111105122401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12587080.

The product of its (nonzero) digits is 80, while the sum is 19.

Adding to 111105122401 its reverse (104221501111), we get a palindrome (215326623512).

The spelling of 111105122401 in words is "one hundred eleven billion, one hundred five million, one hundred twenty-two thousand, four hundred one".