220101222110112 has 288 divisors, whose sum is σ = 721922116091904. Its totient is φ = 62307766080000.

The previous prime is 220101222110093. The next prime is 220101222110177. The reversal of 220101222110112 is 211011222101022.

220101222110112 is a `hidden beast` number, since 220 + 1 + 0 + 1 + 222 + 110 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 191707687 + ... + 192852377.

It is an arithmetic number, because the mean of its divisors is an integer number (2506674014208).

Almost surely, 2^{220101222110112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220101222110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360961058045952).

220101222110112 is an abundant number, since it is smaller than the sum of its proper divisors (501820893981792).

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

220101222110112 is a wasteful number, since it uses less digits than its factorization.

220101222110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145592 (or 1145581 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220101222110112 its reverse (211011222101022), we get a palindrome (431112444211134).

The spelling of 220101222110112 in words is "two hundred twenty trillion, one hundred one billion, two hundred twenty-two million, one hundred ten thousand, one hundred twelve".