220100312110220 has 288 divisors, whose sum is σ = 496886175878400. Its totient is φ = 81768589475328.

The previous prime is 220100312110219. The next prime is 220100312110229. The reversal of 220100312110220 is 22011213001022.

It is not an unprimeable number, because it can be changed into a prime (220100312110229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60153130751 + ... + 60153134409.

It is an arithmetic number, because the mean of its divisors is an integer number (1725299221800).

Almost surely, 2^{220100312110220} is an apocalyptic number.

220100312110220 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 220100312110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248443087939200).

220100312110220 is an abundant number, since it is smaller than the sum of its proper divisors (276785863768180).

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

220100312110220 is a wasteful number, since it uses less digits than its factorization.

220100312110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4165 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 220100312110220 its reverse (22011213001022), we get a palindrome (242111525111242).

The spelling of 220100312110220 in words is "two hundred twenty trillion, one hundred billion, three hundred twelve million, one hundred ten thousand, two hundred twenty".