221200001000 has 256 divisors, whose sum is σ = 584676817920. Its totient is φ = 77633280000.

The previous prime is 221200000991. The next prime is 221200001041. The reversal of 221200001000 is 100002122.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37738070 + ... + 37743930.

It is an arithmetic number, because the mean of its divisors is an integer number (2283893820).

Almost surely, 2^221200001000 is an apocalyptic number.

221200001000 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 221200001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292338408960).

221200001000 is an abundant number, since it is smaller than the sum of its proper divisors (363476816920).

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

221200001000 is a wasteful number, since it uses less digits than its factorization.

221200001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6013 (or 5999 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 221200001000 its reverse (100002122), we get a palindrome (221300003122).

The spelling of 221200001000 in words is "two hundred twenty-one billion, two hundred million, one thousand".