211331100 has 72 divisors (see below), whose sum is σ = 614054448. Its totient is φ = 56115200.

The previous prime is 211331093. The next prime is 211331117. The reversal of 211331100 is 1133112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75730 + ... + 78470.

It is an arithmetic number, because the mean of its divisors is an integer number (8528534).

Almost surely, 2^211331100 is an apocalyptic number.

211331100 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 211331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307027224).

211331100 is an abundant number, since it is smaller than the sum of its proper divisors (402723348).

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

211331100 is a wasteful number, since it uses less digits than its factorization.

211331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3015 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 211331100 is about 14537.2315108483. The cubic root of 211331100 is about 595.6454169114.

Adding to 211331100 its reverse (1133112), we get a palindrome (212464212).

The spelling of 211331100 in words is "two hundred eleven million, three hundred thirty-one thousand, one hundred".