220201022010112 has 288 divisors, whose sum is σ = 518877615735360. Its totient is φ = 91946409984000.

The previous prime is 220201022010103. The next prime is 220201022010163. The reversal of 220201022010112 is 211010220102022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23984422162 + ... + 23984431342.

It is an arithmetic number, because the mean of its divisors is an integer number (1801658387970).

Almost surely, 2^{220201022010112} is an apocalyptic number.

220201022010112 is a gapful number since it is divisible by the number (22) 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 220201022010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259438807867680).

220201022010112 is an abundant number, since it is smaller than the sum of its proper divisors (298676593725248).

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

220201022010112 is a wasteful number, since it uses less digits than its factorization.

220201022010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12311 (or 12297 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220201022010112 its reverse (211010220102022), we get a palindrome (431211242112134).

The spelling of 220201022010112 in words is "two hundred twenty trillion, two hundred one billion, twenty-two million, ten thousand, one hundred twelve".