10200221200 has 60 divisors (see below), whose sum is σ = 26391124228. Its totient is φ = 3766233600.

The previous prime is 10200221179. The next prime is 10200221219. The reversal of 10200221200 is 212200201.

10200221200 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 239382784 + 9960838416 = 15472^2 + 99804^2 .

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 975591 + ... + 985990.

Almost surely, 2^10200221200 is an apocalyptic number.

10200221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200221200 is an abundant number, since it is smaller than the sum of its proper divisors (16190903028).

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

10200221200 is a wasteful number, since it uses less digits than its factorization.

10200221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961612 (or 1961601 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10200221200 its reverse (212200201), we get a palindrome (10412421401).

The spelling of 10200221200 in words is "ten billion, two hundred million, two hundred twenty-one thousand, two hundred".