220102560400 has 120 divisors (see below), whose sum is σ = 541042692480. Its totient is φ = 86009018880.

The previous prime is 220102560319. The next prime is 220102560401. The reversal of 220102560400 is 4065201022.

It is not an unprimeable number, because it can be changed into a prime (220102560401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10461091 + ... + 10482109.

It is an arithmetic number, because the mean of its divisors is an integer number (4508689104).

Almost surely, 2^220102560400 is an apocalyptic number.

220102560400 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 220102560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270521346240).

220102560400 is an abundant number, since it is smaller than the sum of its proper divisors (320940132080).

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

220102560400 is a wasteful number, since it uses less digits than its factorization.

220102560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21641 (or 21630 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 220102560400 its reverse (4065201022), we get a palindrome (224167761422).

The spelling of 220102560400 in words is "two hundred twenty billion, one hundred two million, five hundred sixty thousand, four hundred".