222101012112 has 320 divisors, whose sum is σ = 693288960000. Its totient is φ = 59901202944.

The previous prime is 222101012071. The next prime is 222101012171. The reversal of 222101012112 is 211210101222.

222101012112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 222101012091 and 222101012100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213763689 + ... + 213764727.

It is an arithmetic number, because the mean of its divisors is an integer number (2166528000).

Almost surely, 2^222101012112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222101012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346644480000).

222101012112 is an abundant number, since it is smaller than the sum of its proper divisors (471187947888).

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

222101012112 is a wasteful number, since it uses less digits than its factorization.

222101012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 222101012112 its reverse (211210101222), we get a palindrome (433311113334).

The spelling of 222101012112 in words is "two hundred twenty-two billion, one hundred one million, twelve thousand, one hundred twelve".