112212101000 has 128 divisors (see below), whose sum is σ = 275181753600. Its totient is φ = 42747020800.

The previous prime is 112212100999. The next prime is 112212101039. The reversal of 112212101000 is 101212211.

112212101000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112212101000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5348531 + ... + 5369469.

It is an arithmetic number, because the mean of its divisors is an integer number (2149857450).

Almost surely, 2^112212101000 is an apocalyptic number.

112212101000 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 112212101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137590876800).

112212101000 is an abundant number, since it is smaller than the sum of its proper divisors (162969652600).

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

112212101000 is a wasteful number, since it uses less digits than its factorization.

112212101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21216 (or 21202 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112212101000 its reverse (101212211), we get a palindrome (112313313211).

The spelling of 112212101000 in words is "one hundred twelve billion, two hundred twelve million, one hundred one thousand".