221020002200 has 96 divisors (see below), whose sum is σ = 544557958560. Its totient is φ = 83137382400.

The previous prime is 221020002163. The next prime is 221020002209. The reversal of 221020002200 is 2200020122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020002209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4097405 + ... + 4150995.

It is an arithmetic number, because the mean of its divisors is an integer number (5672478735).

Almost surely, 2^221020002200 is an apocalyptic number.

221020002200 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 221020002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272278979280).

221020002200 is an abundant number, since it is smaller than the sum of its proper divisors (323537956360).

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

221020002200 is a wasteful number, since it uses less digits than its factorization.

221020002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54837 (or 54828 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 221020002200 its reverse (2200020122), we get a palindrome (223220022322).

The spelling of 221020002200 in words is "two hundred twenty-one billion, twenty million, two thousand, two hundred".