1001132200 has 96 divisors (see below), whose sum is σ = 2433159000. Its totient is φ = 382592000.

The previous prime is 1001132179. The next prime is 1001132213. The reversal of 1001132200 is 22311001.

It can be written as a sum of positive squares in 12 ways, for example, as 142993764 + 858138436 = 11958^2 + 29294^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 23 ways as a sum of consecutive naturals, for example, 584946 + ... + 586654.

Almost surely, 2^1001132200 is an apocalyptic number.

1001132200 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 1001132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216579500).

1001132200 is an abundant number, since it is smaller than the sum of its proper divisors (1432026800).

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

1001132200 is a wasteful number, since it uses less digits than its factorization.

1001132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1001132200 is about 31640.6731913213. The cubic root of 1001132200 is about 1000.3772576588.

Adding to 1001132200 its reverse (22311001), we get a palindrome (1023443201).

The spelling of 1001132200 in words is "one billion, one million, one hundred thirty-two thousand, two hundred".