111114400111 has 32 divisors (see below), whose sum is σ = 138596548608. Its totient is φ = 87518154240.

The previous prime is 111114400091. The next prime is 111114400127. The reversal of 111114400111 is 111004411111.

It is not a de Polignac number, because 111114400111 - 2³⁵ = 76754661743 is a prime.

It is a Duffinian number.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111114400141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 829906 + ... + 954448.

It is an arithmetic number, because the mean of its divisors is an integer number (4331142144).

Almost surely, 2^111114400111 is an apocalyptic number.

111114400111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111114400111 is a deficient number, since it is larger than the sum of its proper divisors (27482148497).

111114400111 is a wasteful number, since it uses less digits than its factorization.

111114400111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124951.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 111114400111 its reverse (111004411111), we get a palindrome (222118811222).

It can be divided in two parts, 111114 and 400111, that added together give a square (511225 = 715²).

The spelling of 111114400111 in words is "one hundred eleven billion, one hundred fourteen million, four hundred thousand, one hundred eleven".