221220220010220 has 96 divisors (see below), whose sum is σ = 688244772143040. Its totient is φ = 58991708298240.

The previous prime is 221220220010173. The next prime is 221220220010243. The reversal of 221220220010220 is 22010022022122.

221220220010220 is a `hidden beast` number, since 2 + 2 + 1 + 220 + 220 + 0 + 1 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221220220010193 and 221220220010202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97144164 + ... + 99395316.

It is an arithmetic number, because the mean of its divisors is an integer number (7169216376490).

Almost surely, 2^{221220220010220} is an apocalyptic number.

221220220010220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221220220010220 is an abundant number, since it is smaller than the sum of its proper divisors (467024552132820).

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

221220220010220 is a wasteful number, since it uses less digits than its factorization.

221220220010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433152 (or 2433144 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221220220010220 its reverse (22010022022122), we get a palindrome (243230242032342).

The spelling of 221220220010220 in words is "two hundred twenty-one trillion, two hundred twenty billion, two hundred twenty million, ten thousand, two hundred twenty".