211022100 has 108 divisors (see below), whose sum is σ = 679420924. Its totient is φ = 54743040.

The previous prime is 211022069. The next prime is 211022107. The reversal of 211022100 is 1220112.

It can be written as a sum of positive squares in 6 ways, for example, as 17424 + 211004676 = 132^2 + 14526^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211022107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30132 + ... + 36468.

Almost surely, 2^211022100 is an apocalyptic number.

211022100 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 211022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339710462).

211022100 is an abundant number, since it is smaller than the sum of its proper divisors (468398824).

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

211022100 is a wasteful number, since it uses less digits than its factorization.

211022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394 (or 6384 counting only the distinct ones).

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

The square root of 211022100 is about 14526.5997397877. The cubic root of 211022100 is about 595.3549655573.

Adding to 211022100 its reverse (1220112), we get a palindrome (212242212).

It can be divided in two parts, 21 and 1022100, that added together give a square (1022121 = 1011²).

The spelling of 211022100 in words is "two hundred eleven million, twenty-two thousand, one hundred".