220202201102220 has 288 divisors, whose sum is σ = 698937676819200. Its totient is φ = 58192545325824.

The previous prime is 220202201102137. The next prime is 220202201102231. The reversal of 220202201102220 is 22201102202022.

220202201102220 is a `hidden beast` number, since 220 + 2 + 0 + 220 + 1 + 1 + 0 + 2 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 220202201102193 and 220202201102202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 288803851 + ... + 289565309.

It is an arithmetic number, because the mean of its divisors is an integer number (2426866933400).

Almost surely, 2^{220202201102220} is an apocalyptic number.

220202201102220 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 220202201102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349468838409600).

220202201102220 is an abundant number, since it is smaller than the sum of its proper divisors (478735475716980).

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

220202201102220 is a wasteful number, since it uses less digits than its factorization.

220202201102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762019 (or 762005 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220202201102220 its reverse (22201102202022), we get a palindrome (242403303304242).

The spelling of 220202201102220 in words is "two hundred twenty trillion, two hundred two billion, two hundred one million, one hundred two thousand, two hundred twenty".