221102002222220 has 192 divisors, whose sum is σ = 578352168576000. Its totient is φ = 69278051920896.

The previous prime is 221102002222217. The next prime is 221102002222237. The reversal of 221102002222220 is 22222200201122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221102002222192 and 221102002222201.

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, 84882371 + ... + 87448389.

It is an arithmetic number, because the mean of its divisors is an integer number (3012250878000).

Almost surely, 2^{221102002222220} is an apocalyptic number.

221102002222220 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 221102002222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289176084288000).

221102002222220 is an abundant number, since it is smaller than the sum of its proper divisors (357250166353780).

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

221102002222220 is a wasteful number, since it uses less digits than its factorization.

221102002222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567200 (or 2567198 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 221102002222220 its reverse (22222200201122), we get a palindrome (243324202423342).

The spelling of 221102002222220 in words is "two hundred twenty-one trillion, one hundred two billion, two million, two hundred twenty-two thousand, two hundred twenty".