211002000220200 has 768 divisors, whose sum is σ = 769662738432000. Its totient is φ = 47796361804800.

The previous prime is 211002000220177. The next prime is 211002000220243. The reversal of 211002000220200 is 2022000200112.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26685464647 + ... + 26685472553.

It is an arithmetic number, because the mean of its divisors is an integer number (1002165024000).

Almost surely, 2^{211002000220200} is an apocalyptic number.

211002000220200 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 211002000220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384831369216000).

211002000220200 is an abundant number, since it is smaller than the sum of its proper divisors (558660738211800).

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

211002000220200 is a wasteful number, since it uses less digits than its factorization.

211002000220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9095 (or 9072 counting only the distinct ones).

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

Adding to 211002000220200 its reverse (2022000200112), we get a palindrome (213024000420312).

The spelling of 211002000220200 in words is "two hundred eleven trillion, two billion, two hundred twenty thousand, two hundred".