221222100101120 has 192 divisors, whose sum is σ = 533924092512720. Its totient is φ = 87968946585600.

The previous prime is 221222100101077. The next prime is 221222100101203. The reversal of 221222100101120 is 21101001222122.

It can be written as a sum of positive squares in 8 ways, for example, as 58004918281216 + 163217181819904 = 7616096^2 + 12775648^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5673360344 + ... + 5673399336.

Almost surely, 2^{221222100101120} is an apocalyptic number.

221222100101120 is a gapful number since it is divisible by the number (20) 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 221222100101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266962046256360).

221222100101120 is an abundant number, since it is smaller than the sum of its proper divisors (312701992411600).

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

221222100101120 is a wasteful number, since it uses less digits than its factorization.

221222100101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42262 (or 42242 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221222100101120 its reverse (21101001222122), we get a palindrome (242323101323242).

The spelling of 221222100101120 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, one hundred million, one hundred one thousand, one hundred twenty".