221220201110020 has 192 divisors, whose sum is σ = 546818658140160. Its totient is φ = 73597038566400.

The previous prime is 221220201110011. The next prime is 221220201110023. The reversal of 221220201110020 is 20011102022122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221220201109976 and 221220201110003.

It is not an unprimeable number, because it can be changed into a prime (221220201110023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8230210941 + ... + 8230237819.

It is an arithmetic number, because the mean of its divisors is an integer number (2848013844480).

Almost surely, 2^{221220201110020} is an apocalyptic number.

221220201110020 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 221220201110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273409329070080).

221220201110020 is an abundant number, since it is smaller than the sum of its proper divisors (325598457030140).

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

221220201110020 is a wasteful number, since it uses less digits than its factorization.

221220201110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34634 (or 34632 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221220201110020 its reverse (20011102022122), we get a palindrome (241231303132142).

The spelling of 221220201110020 in words is "two hundred twenty-one trillion, two hundred twenty billion, two hundred one million, one hundred ten thousand, twenty".