212111102200 has 96 divisors (see below), whose sum is σ = 498654468000. Its totient is φ = 83902300160.

The previous prime is 212111102191. The next prime is 212111102207. The reversal of 212111102200 is 2201111212.

It is a super-2 number, since 2×212111102200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212111102207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10136949 + ... + 10157851.

It is an arithmetic number, because the mean of its divisors is an integer number (5194317375).

Almost surely, 2^212111102200 is an apocalyptic number.

212111102200 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 212111102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249327234000).

212111102200 is an abundant number, since it is smaller than the sum of its proper divisors (286543365800).

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

212111102200 is a wasteful number, since it uses less digits than its factorization.

212111102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21481 (or 21472 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212111102200 its reverse (2201111212), we get a palindrome (214312213412).

The spelling of 212111102200 in words is "two hundred twelve billion, one hundred eleven million, one hundred two thousand, two hundred".