220120210100 has 72 divisors (see below), whose sum is σ = 546267328320. Its totient is φ = 75418744320.

The previous prime is 220120210087. The next prime is 220120210111. The reversal of 220120210100 is 1012021022.

It is a happy number.

220120210100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 936707 + ... + 1147893.

Almost surely, 2^220120210100 is an apocalyptic number.

220120210100 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 220120210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273133664160).

220120210100 is an abundant number, since it is smaller than the sum of its proper divisors (326147118220).

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

220120210100 is a wasteful number, since it uses less digits than its factorization.

220120210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212697 (or 212690 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 220120210100 its reverse (1012021022), we get a palindrome (221132231122).

The spelling of 220120210100 in words is "two hundred twenty billion, one hundred twenty million, two hundred ten thousand, one hundred".