200210120200220 has 768 divisors, whose sum is σ = 506036450304000. Its totient is φ = 65889320140800.

The previous prime is 200210120200093. The next prime is 200210120200291. The reversal of 200210120200220 is 22002021012002.

It is a junction number, because it is equal to n+sod(n) for n = 200210120200195 and 200210120200204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 162640227005 + ... + 162640228235.

It is an arithmetic number, because the mean of its divisors is an integer number (658901628000).

Almost surely, 2^{200210120200220} is an apocalyptic number.

200210120200220 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 200210120200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253018225152000).

200210120200220 is an abundant number, since it is smaller than the sum of its proper divisors (305826330103780).

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

200210120200220 is a wasteful number, since it uses less digits than its factorization.

200210120200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200210120200220 its reverse (22002021012002), we get a palindrome (222212141212222).

The spelling of 200210120200220 in words is "two hundred trillion, two hundred ten billion, one hundred twenty million, two hundred thousand, two hundred twenty".