220100202202320 has 480 divisors, whose sum is σ = 817899397945344. Its totient is φ = 52594850380800.

The previous prime is 220100202202313. The next prime is 220100202202357. The reversal of 220100202202320 is 23202202001022.

220100202202320 is a `hidden beast` number, since 2 + 2 + 0 + 100 + 20 + 220 + 2 + 320 = 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 = 220100202202293 and 220100202202302.

It is a congruent number.

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, 2793004039 + ... + 2793082841.

Almost surely, 2^{220100202202320} is an apocalyptic number.

220100202202320 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 220100202202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408949698972672).

220100202202320 is an abundant number, since it is smaller than the sum of its proper divisors (597799195743024).

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

220100202202320 is a wasteful number, since it uses less digits than its factorization.

220100202202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83871 (or 83862 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 220100202202320 its reverse (23202202001022), we get a palindrome (243302404203342).

The spelling of 220100202202320 in words is "two hundred twenty trillion, one hundred billion, two hundred two million, two hundred two thousand, three hundred twenty".