10312220200 has 144 divisors (see below), whose sum is σ = 25935644700. Its totient is φ = 3808358400.

The previous prime is 10312220147. The next prime is 10312220201. The reversal of 10312220200 is 202221301.

It can be written as a sum of positive squares in 6 ways, for example, as 5169322404 + 5142897796 = 71898^2 + 71714^2 .

It is not an unprimeable number, because it can be changed into a prime (10312220201) 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 35 ways as a sum of consecutive naturals, for example, 3066520 + ... + 3069880.

Almost surely, 2^10312220200 is an apocalyptic number.

10312220200 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 10312220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12967822350).

10312220200 is an abundant number, since it is smaller than the sum of its proper divisors (15623424500).

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

10312220200 is a wasteful number, since it uses less digits than its factorization.

10312220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10312220200 its reverse (202221301), we get a palindrome (10514441501).

The spelling of 10312220200 in words is "ten billion, three hundred twelve million, two hundred twenty thousand, two hundred".