20320200100200 has 1536 divisors, whose sum is σ = 89504671334400. Its totient is φ = 3672718848000.

The previous prime is 20320200100163. The next prime is 20320200100373. The reversal of 20320200100200 is 200100202302.

It is a super-2 number, since 2×20320200100200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2179572739 + ... + 2179582061.

It is an arithmetic number, because the mean of its divisors is an integer number (58271270400).

Almost surely, 2^{20320200100200} is an apocalyptic number.

20320200100200 is a gapful number since it is divisible by the number (20) 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 20320200100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44752335667200).

20320200100200 is an abundant number, since it is smaller than the sum of its proper divisors (69184471234200).

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

20320200100200 is a wasteful number, since it uses less digits than its factorization.

20320200100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9583 (or 9574 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20320200100200 its reverse (200100202302), we get a palindrome (20520300302502).

The spelling of 20320200100200 in words is "twenty trillion, three hundred twenty billion, two hundred million, one hundred thousand, two hundred".