221100222202112 has 288 divisors, whose sum is σ = 494558657970048. Its totient is φ = 97802035200000.

The previous prime is 221100222202103. The next prime is 221100222202117. The reversal of 221100222202112 is 211202222001122.

It is not an unprimeable number, because it can be changed into a prime (221100222202117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28747912187 + ... + 28747919877.

It is an arithmetic number, because the mean of its divisors is an integer number (1717217562396).

Almost surely, 2^{221100222202112} is an apocalyptic number.

221100222202112 is a gapful number since it is divisible by the number (22) 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 221100222202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247279328985024).

221100222202112 is an abundant number, since it is smaller than the sum of its proper divisors (273458435767936).

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

221100222202112 is a wasteful number, since it uses less digits than its factorization.

221100222202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9537 (or 9523 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 221100222202112 its reverse (211202222001122), we get a palindrome (432302444203234).

The spelling of 221100222202112 in words is "two hundred twenty-one trillion, one hundred billion, two hundred twenty-two million, two hundred two thousand, one hundred twelve".