112100111211 has 32 divisors (see below), whose sum is σ = 164036710656. Its totient is φ = 67530672000.

The previous prime is 112100111209. The next prime is 112100111287. The reversal of 112100111211 is 112111001211.

It is not a de Polignac number, because 112100111211 - 2¹ = 112100111209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112100110211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17742625 + ... + 17748941.

It is an arithmetic number, because the mean of its divisors is an integer number (5126147208).

Almost surely, 2^112100111211 is an apocalyptic number.

112100111211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112100111211 is a deficient number, since it is larger than the sum of its proper divisors (51936599445).

112100111211 is a wasteful number, since it uses less digits than its factorization.

112100111211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9483.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 112100111211 its reverse (112111001211), we get a palindrome (224211112422).

Subtracting 112100111211 from its reverse (112111001211), we obtain a square (10890000 = 3300²).

The spelling of 112100111211 in words is "one hundred twelve billion, one hundred million, one hundred eleven thousand, two hundred eleven".