10201200320 has 112 divisors (see below), whose sum is σ = 25620268800. Its totient is φ = 3858140160.

The previous prime is 10201200277. The next prime is 10201200323. The reversal of 10201200320 is 2300210201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10201200323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3835151 + ... + 3837809.

It is an arithmetic number, because the mean of its divisors is an integer number (228752400).

Almost surely, 2^10201200320 is an apocalyptic number.

10201200320 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 10201200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12810134400).

10201200320 is an abundant number, since it is smaller than the sum of its proper divisors (15419068480).

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

10201200320 is a wasteful number, since it uses less digits than its factorization.

10201200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10201200320 its reverse (2300210201), we get a palindrome (12501410521).

The spelling of 10201200320 in words is "ten billion, two hundred one million, two hundred thousand, three hundred twenty".