2210020220200 has 192 divisors, whose sum is σ = 5863989524400. Its totient is φ = 768651878400.

The previous prime is 2210020220141. The next prime is 2210020220227. The reversal of 2210020220200 is 20220200122.

It can be written as a sum of positive squares in 24 ways, for example, as 199982473636 + 2010037746564 = 447194^2 + 1417758^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2733954 + ... + 3448846.

Almost surely, 2^{2210020220200} is an apocalyptic number.

2210020220200 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 2210020220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931994762200).

2210020220200 is an abundant number, since it is smaller than the sum of its proper divisors (3653969304200).

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

2210020220200 is a wasteful number, since it uses less digits than its factorization.

2210020220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714992 (or 714983 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2210020220200 its reverse (20220200122), we get a palindrome (2230240420322).

The spelling of 2210020220200 in words is "two trillion, two hundred ten billion, twenty million, two hundred twenty thousand, two hundred".