221002020212200 has 192 divisors, whose sum is σ = 544157171712000. Its totient is φ = 83341443628800.

The previous prime is 221002020212147. The next prime is 221002020212249. The reversal of 221002020212200 is 2212020200122.

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 47 ways as a sum of consecutive naturals, for example, 101025601 + ... + 103189999.

It is an arithmetic number, because the mean of its divisors is an integer number (2834151936000).

Almost surely, 2^{221002020212200} is an apocalyptic number.

221002020212200 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 221002020212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272078585856000).

221002020212200 is an abundant number, since it is smaller than the sum of its proper divisors (323155151499800).

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

221002020212200 is a wasteful number, since it uses less digits than its factorization.

221002020212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164872 (or 2164863 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 221002020212200 its reverse (2212020200122), we get a palindrome (223214040412322).

The spelling of 221002020212200 in words is "two hundred twenty-one trillion, two billion, twenty million, two hundred twelve thousand, two hundred".