200221100221120 has 224 divisors, whose sum is σ = 531272796410880. Its totient is φ = 71246955479040.

The previous prime is 200221100221099. The next prime is 200221100221151. The reversal of 200221100221120 is 21122001122002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 200221100221094 and 200221100221103.

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, 1048297791 + ... + 1048488769.

Almost surely, 2^{200221100221120} is an apocalyptic number.

200221100221120 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 200221100221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265636398205440).

200221100221120 is an abundant number, since it is smaller than the sum of its proper divisors (331051696189760).

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

200221100221120 is a wasteful number, since it uses less digits than its factorization.

200221100221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197391 (or 197381 counting only the distinct ones).

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

Adding to 200221100221120 its reverse (21122001122002), we get a palindrome (221343101343122).

The spelling of 200221100221120 in words is "two hundred trillion, two hundred twenty-one billion, one hundred million, two hundred twenty-one thousand, one hundred twenty".