10132200200 has 48 divisors (see below), whose sum is σ = 23568381780. Its totient is φ = 4050984960.

The previous prime is 10132200187. The next prime is 10132200251. The reversal of 10132200200 is 200223101.

It is a happy number.

10132200200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2060615236 + 8071584964 = 45394^2 + 89842^2 .

It is a super-2 number, since 2×10132200200² (a number of 21 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 464744 + ... + 486056.

Almost surely, 2^10132200200 is an apocalyptic number.

10132200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132200200 is an abundant number, since it is smaller than the sum of its proper divisors (13436181580).

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

10132200200 is a wasteful number, since it uses less digits than its factorization.

10132200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23706 (or 23697 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10132200200 its reverse (200223101), we get a palindrome (10332423301).

The spelling of 10132200200 in words is "ten billion, one hundred thirty-two million, two hundred thousand, two hundred".