211102113200 has 120 divisors (see below), whose sum is σ = 561072946176. Its totient is φ = 75683104000.

The previous prime is 211102113193. The next prime is 211102113223. The reversal of 211102113200 is 2311201112.

211102113200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211102113200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25472 + ... + 650271.

Almost surely, 2^211102113200 is an apocalyptic number.

211102113200 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 211102113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280536473088).

211102113200 is an abundant number, since it is smaller than the sum of its proper divisors (349970832976).

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

211102113200 is a wasteful number, since it uses less digits than its factorization.

211102113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675843 (or 675832 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 211102113200 its reverse (2311201112), we get a palindrome (213413314312).

The spelling of 211102113200 in words is "two hundred eleven billion, one hundred two million, one hundred thirteen thousand, two hundred".