112114101 has 32 divisors (see below), whose sum is σ = 167961600. Its totient is φ = 65943680.

The previous prime is 112114097. The next prime is 112114111. The reversal of 112114101 is 101411211.

It is not a de Polignac number, because 112114101 - 2² = 112114097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112114111) 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 31 ways as a sum of consecutive naturals, for example, 172960 + ... + 173606.

It is an arithmetic number, because the mean of its divisors is an integer number (5248800).

Almost surely, 2^112114101 is an apocalyptic number.

112114101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112114101 is a deficient number, since it is larger than the sum of its proper divisors (55847499).

112114101 is a wasteful number, since it uses less digits than its factorization.

112114101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809.

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 112114101 is about 10588.3946375265. The cubic root of 112114101 is about 482.1920875429.

Adding to 112114101 its reverse (101411211), we get a palindrome (213525312).

It can be divided in two parts, 11 and 2114101, that added together give a palindrome (2114112).

The spelling of 112114101 in words is "one hundred twelve million, one hundred fourteen thousand, one hundred one".