10111221200 has 60 divisors (see below), whose sum is σ = 25129900140. Its totient is φ = 3905018880.

The previous prime is 10111221181. The next prime is 10111221209. The reversal of 10111221200 is 212211101.

It can be written as a sum of positive squares in 6 ways, for example, as 259467664 + 9851753536 = 16108^2 + 99256^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111221209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 424229 + ... + 447428.

It is an arithmetic number, because the mean of its divisors is an integer number (418831669).

Almost surely, 2^10111221200 is an apocalyptic number.

10111221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111221200 is an abundant number, since it is smaller than the sum of its proper divisors (15018678940).

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

10111221200 is a wasteful number, since it uses less digits than its factorization.

10111221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871704 (or 871693 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10111221200 its reverse (212211101), we get a palindrome (10323432301).

The spelling of 10111221200 in words is "ten billion, one hundred eleven million, two hundred twenty-one thousand, two hundred".