220200201010020 has 768 divisors, whose sum is σ = 797881732300800. Its totient is φ = 44057067264000.

The previous prime is 220200201009991. The next prime is 220200201010037. The reversal of 220200201010020 is 20010102002022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220200201009978 and 220200201010005.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3973916115 + ... + 3973971525.

It is an arithmetic number, because the mean of its divisors is an integer number (1038908505600).

Almost surely, 2^{220200201010020} is an apocalyptic number.

220200201010020 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 220200201010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398940866150400).

220200201010020 is an abundant number, since it is smaller than the sum of its proper divisors (577681531290780).

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

220200201010020 is a wasteful number, since it uses less digits than its factorization.

220200201010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55800 (or 55798 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220200201010020 its reverse (20010102002022), we get a palindrome (240210303012042).

The spelling of 220200201010020 in words is "two hundred twenty trillion, two hundred billion, two hundred one million, ten thousand, twenty".