211100012200 has 288 divisors, whose sum is σ = 643370071680. Its totient is φ = 62935488000.

The previous prime is 211100012191. The next prime is 211100012257. The reversal of 211100012200 is 2210001112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3869110 + ... + 3923290.

It is an arithmetic number, because the mean of its divisors is an integer number (2233923860).

Almost surely, 2^211100012200 is an apocalyptic number.

211100012200 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 211100012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321685035840).

211100012200 is an abundant number, since it is smaller than the sum of its proper divisors (432270059480).

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

211100012200 is a wasteful number, since it uses less digits than its factorization.

211100012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54249 (or 54229 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211100012200 its reverse (2210001112), we get a palindrome (213310013312).

The spelling of 211100012200 in words is "two hundred eleven billion, one hundred million, twelve thousand, two hundred".