1000221300 has 216 divisors, whose sum is σ = 3442139064. Its totient is φ = 241413120.

The previous prime is 1000221251. The next prime is 1000221319. The reversal of 1000221300 is 31220001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 275427216 + 724794084 = 16596^2 + 26922^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 619294 + ... + 620906.

It is an arithmetic number, because the mean of its divisors is an integer number (15935829).

Almost surely, 2^1000221300 is an apocalyptic number.

1000221300 is a gapful number since it is divisible by the number (10) 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 1000221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721069532).

1000221300 is an abundant number, since it is smaller than the sum of its proper divisors (2441917764).

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

1000221300 is a wasteful number, since it uses less digits than its factorization.

1000221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1000221300 is about 31626.2754683507. The cubic root of 1000221300 is about 1000.0737612258.

Adding to 1000221300 its reverse (31220001), we get a palindrome (1031441301).

The spelling of 1000221300 in words is "one billion, two hundred twenty-one thousand, three hundred".