220102111100 has 144 divisors (see below), whose sum is σ = 500987934720. Its totient is φ = 83836166400.

The previous prime is 220102111081. The next prime is 220102111111. The reversal of 220102111100 is 1111201022.

220102111100 is digitally balanced in base 3, 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52043786 + ... + 52048014.

It is an arithmetic number, because the mean of its divisors is an integer number (3479082880).

Almost surely, 2^220102111100 is an apocalyptic number.

220102111100 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 220102111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250493967360).

220102111100 is an abundant number, since it is smaller than the sum of its proper divisors (280885823620).

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

220102111100 is a wasteful number, since it uses less digits than its factorization.

220102111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 220102111100 its reverse (1111201022), we get a palindrome (221213312122).

The spelling of 220102111100 in words is "two hundred twenty billion, one hundred two million, one hundred eleven thousand, one hundred".