112210101221112 has 256 divisors, whose sum is σ = 323032383590400. Its totient is φ = 36052682688000.

The previous prime is 112210101221111. The next prime is 112210101221123. The reversal of 112210101221112 is 211122101012211.

It is a happy number.

112210101221112 is a `hidden beast` number, since 11 + 221 + 0 + 101 + 221 + 112 = 666.

It is a super-2 number, since 2×112210101221112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112210101221111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2351551078 + ... + 2351598794.

It is an arithmetic number, because the mean of its divisors is an integer number (1261845248400).

Almost surely, 2^{112210101221112} is an apocalyptic number.

112210101221112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112210101221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161516191795200).

112210101221112 is an abundant number, since it is smaller than the sum of its proper divisors (210822282369288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112210101221112 is a wasteful number, since it uses less digits than its factorization.

112210101221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49155 (or 49145 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112210101221112 its reverse (211122101012211), we get a palindrome (323332202233323).

The spelling of 112210101221112 in words is "one hundred twelve trillion, two hundred ten billion, one hundred one million, two hundred twenty-one thousand, one hundred twelve".