10321412200 has 96 divisors (see below), whose sum is σ = 26438620320. Its totient is φ = 3716000000.

The previous prime is 10321412197. The next prime is 10321412263. The reversal of 10321412200 is 221412301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198975 + ... + 245425.

It is an arithmetic number, because the mean of its divisors is an integer number (275402295).

Almost surely, 2^10321412200 is an apocalyptic number.

10321412200 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 10321412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13219310160).

10321412200 is an abundant number, since it is smaller than the sum of its proper divisors (16117208120).

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

10321412200 is a wasteful number, since it uses less digits than its factorization.

10321412200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46579 (or 46570 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10321412200 its reverse (221412301), we get a palindrome (10542824501).

The spelling of 10321412200 in words is "ten billion, three hundred twenty-one million, four hundred twelve thousand, two hundred".