211002201200 has 240 divisors, whose sum is σ = 583728621120. Its totient is φ = 71799644160.

The previous prime is 211002201197. The next prime is 211002201257. The reversal of 211002201200 is 2102200112.

It is a happy number.

It is a super-2 number, since 2×211002201200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 344212094 + ... + 344212706.

It is an arithmetic number, because the mean of its divisors is an integer number (2432202588).

Almost surely, 2^211002201200 is an apocalyptic number.

211002201200 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 211002201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291864310560).

211002201200 is an abundant number, since it is smaller than the sum of its proper divisors (372726419920).

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

211002201200 is a wasteful number, since it uses less digits than its factorization.

211002201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 211002201200 its reverse (2102200112), we get a palindrome (213104401312).

The spelling of 211002201200 in words is "two hundred eleven billion, two million, two hundred one thousand, two hundred".