211010000 has 50 divisors (see below), whose sum is σ = 510900522. Its totient is φ = 84400000.

The previous prime is 211009999. The next prime is 211010047. The reversal of 211010000 is 10112.

It is a happy number.

211010000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 112444816 + 98565184 = 10604^2 + 9928^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 551 + ... + 20550.

Almost surely, 2^211010000 is an apocalyptic number.

211010000 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 211010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255450261).

211010000 is an abundant number, since it is smaller than the sum of its proper divisors (299890522).

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

211010000 is an equidigital number, since it uses as much as digits as its factorization.

211010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21129 (or 21108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 211010000 is about 14526.1832564511. The cubic root of 211010000 is about 595.3435861287.

Adding to 211010000 its reverse (10112), we get a palindrome (211020112).

The spelling of 211010000 in words is "two hundred eleven million, ten thousand".