10111332200 has 96 divisors (see below), whose sum is σ = 24070345560. Its totient is φ = 3949056000.

The previous prime is 10111332191. The next prime is 10111332221. The reversal of 10111332200 is 223311101.

It can be written as a sum of positive squares in 12 ways, for example, as 515562436 + 9595769764 = 22706^2 + 97958^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1471172 + ... + 1478028.

Almost surely, 2^10111332200 is an apocalyptic number.

10111332200 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 10111332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12035172780).

10111332200 is an abundant number, since it is smaller than the sum of its proper divisors (13959013360).

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

10111332200 is a wasteful number, since it uses less digits than its factorization.

10111332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7047 (or 7038 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10111332200 its reverse (223311101), we get a palindrome (10334643301).

The spelling of 10111332200 in words is "ten billion, one hundred eleven million, three hundred thirty-two thousand, two hundred".