10320211310200 has 96 divisors (see below), whose sum is σ = 26185667760000. Its totient is φ = 3751390627200.

The previous prime is 10320211310191. The next prime is 10320211310203. The reversal of 10320211310200 is 201311202301.

It is a super-2 number, since 2×10320211310200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10320211310203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4967701 + ... + 6731899.

It is an arithmetic number, because the mean of its divisors is an integer number (272767372500).

Almost surely, 2^{10320211310200} is an apocalyptic number.

10320211310200 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 10320211310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13092833880000).

10320211310200 is an abundant number, since it is smaller than the sum of its proper divisors (15865456449800).

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

10320211310200 is a wasteful number, since it uses less digits than its factorization.

10320211310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766885 (or 1766876 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10320211310200 its reverse (201311202301), we get a palindrome (10521522512501).

The spelling of 10320211310200 in words is "ten trillion, three hundred twenty billion, two hundred eleven million, three hundred ten thousand, two hundred".