221122202002200 has 144 divisors (see below), whose sum is σ = 742624488655920. Its totient is φ = 58964139736320.

The previous prime is 221122202002159. The next prime is 221122202002223. The reversal of 221122202002200 is 2200202221122.

221122202002200 is a `hidden beast` number, since 2 + 21 + 1 + 2 + 220 + 200 + 220 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 58305109 + ... + 61981691.

It is an arithmetic number, because the mean of its divisors is an integer number (5157114504555).

Almost surely, 2^{221122202002200} is an apocalyptic number.

221122202002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221122202002200 is an abundant number, since it is smaller than the sum of its proper divisors (521502286653720).

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

221122202002200 is a wasteful number, since it uses less digits than its factorization.

221122202002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710018 (or 3710006 counting only the distinct ones).

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

Adding to 221122202002200 its reverse (2200202221122), we get a palindrome (223322404223322).

The spelling of 221122202002200 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, two hundred two million, two thousand, two hundred".