112212201101 has 64 divisors (see below), whose sum is σ = 151799961600. Its totient is φ = 80105414400.

The previous prime is 112212201089. The next prime is 112212201107. The reversal of 112212201101 is 101102212211.

It is not a de Polignac number, because 112212201101 - 2⁶ = 112212201037 is a prime.

It is a super-2 number, since 2×112212201101² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112212201107) 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 63 ways as a sum of consecutive naturals, for example, 89127410 + ... + 89128668.

It is an arithmetic number, because the mean of its divisors is an integer number (2371874400).

Almost surely, 2^112212201101 is an apocalyptic number.

112212201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112212201101 is a deficient number, since it is larger than the sum of its proper divisors (39587760499).

112212201101 is a wasteful number, since it uses less digits than its factorization.

112212201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112212201101 its reverse (101102212211), we get a palindrome (213314413312).

It can be divided in two parts, 112212 and 201101, that added together give a palindrome (313313).

The spelling of 112212201101 in words is "one hundred twelve billion, two hundred twelve million, two hundred one thousand, one hundred one".