220210100200020 has 192 divisors, whose sum is σ = 710476050493440. Its totient is φ = 49919934210048.

The previous prime is 220210100199949. The next prime is 220210100200021. The reversal of 220210100200020 is 20002001012022.

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 = 220210100199969 and 220210100200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220210100200021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54503092 + ... + 58403828.

It is an arithmetic number, because the mean of its divisors is an integer number (3700396096320).

Almost surely, 2^{220210100200020} is an apocalyptic number.

220210100200020 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 220210100200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355238025246720).

220210100200020 is an abundant number, since it is smaller than the sum of its proper divisors (490265950293420).

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

220210100200020 is a wasteful number, since it uses less digits than its factorization.

220210100200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901862 (or 3901860 counting only the distinct ones).

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

Adding to 220210100200020 its reverse (20002001012022), we get a palindrome (240212101212042).

The spelling of 220210100200020 in words is "two hundred twenty trillion, two hundred ten billion, one hundred million, two hundred thousand, twenty".