112221121212100 has 288 divisors, whose sum is σ = 257266871366400. Its totient is φ = 42426810316800.

The previous prime is 112221121212049. The next prime is 112221121212107. The reversal of 112221121212100 is 1212121122211.

It is a happy number.

It is a super-2 number, since 2×112221121212100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112221121212107) 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 95 ways as a sum of consecutive naturals, for example, 47937256930 + ... + 47937259270.

It is an arithmetic number, because the mean of its divisors is an integer number (893287747800).

Almost surely, 2^{112221121212100} is an apocalyptic number.

112221121212100 is a gapful number since it is divisible by the number (10) 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 112221121212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128633435683200).

112221121212100 is an abundant number, since it is smaller than the sum of its proper divisors (145045750154300).

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

112221121212100 is a wasteful number, since it uses less digits than its factorization.

112221121212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 112221121212100 its reverse (1212121122211), we get a palindrome (113433242334311).

The spelling of 112221121212100 in words is "one hundred twelve trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred twelve thousand, one hundred".