211210200100 has 72 divisors (see below), whose sum is σ = 470710497600. Its totient is φ = 82229616000.

The previous prime is 211210200073. The next prime is 211210200107. The reversal of 211210200100 is 1002012112.

211210200100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (211210200107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418681 + ... + 773119.

It is an arithmetic number, because the mean of its divisors is an integer number (6537645800).

Almost surely, 2^211210200100 is an apocalyptic number.

211210200100 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 211210200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235355248800).

211210200100 is an abundant number, since it is smaller than the sum of its proper divisors (259500297500).

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

211210200100 is a wasteful number, since it uses less digits than its factorization.

211210200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354613 (or 354606 counting only the distinct ones).

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

Adding to 211210200100 its reverse (1002012112), we get a palindrome (212212212212).

The spelling of 211210200100 in words is "two hundred eleven billion, two hundred ten million, two hundred thousand, one hundred".