112100221202112 has 672 divisors, whose sum is σ = 379689055200000. Its totient is φ = 31174457057280.

The previous prime is 112100221202111. The next prime is 112100221202113. The reversal of 112100221202112 is 211202122001211.

112100221202112 is a `hidden beast` number, since 1 + 1 + 210 + 0 + 221 + 20 + 211 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (112100221202111) and next prime (112100221202113).

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

It is not an unprimeable number, because it can be changed into a prime (112100221202111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11056333939 + ... + 11056344077.

It is an arithmetic number, because the mean of its divisors is an integer number (565013475000).

Almost surely, 2^{112100221202112} is an apocalyptic number.

112100221202112 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 112100221202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189844527600000).

112100221202112 is an abundant number, since it is smaller than the sum of its proper divisors (267588833997888).

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

112100221202112 is a wasteful number, since it uses less digits than its factorization.

112100221202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10949 (or 10936 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112100221202112 its reverse (211202122001211), we get a palindrome (323302343203323).

The spelling of 112100221202112 in words is "one hundred twelve trillion, one hundred billion, two hundred twenty-one million, two hundred two thousand, one hundred twelve".