220120100200 has 576 divisors, whose sum is σ = 699930201600. Its totient is φ = 62506828800.

The previous prime is 220120100129. The next prime is 220120100209. The reversal of 220120100200 is 2001021022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (220120100209) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 216015291 + ... + 216016309.

It is an arithmetic number, because the mean of its divisors is an integer number (1215156600).

Almost surely, 2^220120100200 is an apocalyptic number.

220120100200 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 220120100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349965100800).

220120100200 is an abundant number, since it is smaller than the sum of its proper divisors (479810101400).

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

220120100200 is a wasteful number, since it uses less digits than its factorization.

220120100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 220120100200 its reverse (2001021022), we get a palindrome (222121121222).

The spelling of 220120100200 in words is "two hundred twenty billion, one hundred twenty million, one hundred thousand, two hundred".