220102112200 has 96 divisors (see below), whose sum is σ = 524576424960. Its totient is φ = 85834918400.

The previous prime is 220102112141. The next prime is 220102112201. The reversal of 220102112200 is 2211201022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (220102112201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13169049 + ... + 13185751.

It is an arithmetic number, because the mean of its divisors is an integer number (5464337760).

Almost surely, 2^220102112200 is an apocalyptic number.

220102112200 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 220102112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262288212480).

220102112200 is an abundant number, since it is smaller than the sum of its proper divisors (304474312760).

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

220102112200 is a wasteful number, since it uses less digits than its factorization.

220102112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18367 (or 18358 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 220102112200 its reverse (2211201022), we get a palindrome (222313313222).

The spelling of 220102112200 in words is "two hundred twenty billion, one hundred two million, one hundred twelve thousand, two hundred".