200210220220120 has 256 divisors, whose sum is σ = 506762492158080. Its totient is φ = 70576349184000.

The previous prime is 200210220220111. The next prime is 200210220220147. The reversal of 200210220220120 is 21022022012002.

It is a junction number, because it is equal to n+sod(n) for n = 200210220220094 and 200210220220103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444219204 + ... + 444669676.

Almost surely, 2^{200210220220120} is an apocalyptic number.

200210220220120 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 200210220220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253381246079040).

200210220220120 is an abundant number, since it is smaller than the sum of its proper divisors (306552271937960).

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

200210220220120 is a wasteful number, since it uses less digits than its factorization.

200210220220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450806 (or 450802 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 200210220220120 its reverse (21022022012002), we get a palindrome (221232242232122).

It can be divided in two parts, 2002102 and 20220120, that added together give a palindrome (22222222).

The spelling of 200210220220120 in words is "two hundred trillion, two hundred ten billion, two hundred twenty million, two hundred twenty thousand, one hundred twenty".