211000202100 has 144 divisors (see below), whose sum is σ = 681879690240. Its totient is φ = 55971993600.

The previous prime is 211000202093. The next prime is 211000202201. The reversal of 211000202100 is 1202000112.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 311124 + ... + 720276.

Almost surely, 2^211000202100 is an apocalyptic number.

211000202100 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 211000202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340939845120).

211000202100 is an abundant number, since it is smaller than the sum of its proper divisors (470879488140).

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

211000202100 is a wasteful number, since it uses less digits than its factorization.

211000202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409367 (or 409354 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 211000202100 its reverse (1202000112), we get a palindrome (212202202212).

The spelling of 211000202100 in words is "two hundred eleven billion, two hundred two thousand, one hundred".