1030021200 has 270 divisors, whose sum is σ = 3872854986. Its totient is φ = 253393920.

The previous prime is 1030021199. The next prime is 1030021219. The reversal of 1030021200 is 21200301.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 715455504 + 314565696 = 26748^2 + 17736^2 .

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 (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 607554 + ... + 609246.

Almost surely, 2^1030021200 is an apocalyptic number.

1030021200 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 1030021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936427493).

1030021200 is an abundant number, since it is smaller than the sum of its proper divisors (2842833786).

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

1030021200 is a wasteful number, since it uses less digits than its factorization.

1030021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1716 counting only the distinct ones).

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

The square root of 1030021200 is about 32093.9433538479. The cubic root of 1030021200 is about 1009.9085627774.

Adding to 1030021200 its reverse (21200301), we get a palindrome (1051221501).

The spelling of 1030021200 in words is "one billion, thirty million, twenty-one thousand, two hundred".