12100 has 27 divisors (see below), whose sum is σ = 28861. Its totient is φ = 4400.

The previous prime is 12097. The next prime is 12101. The reversal of 12100 is 121.

12100 = T_{109} + T_{110}.

The square root of 12100 is 110.

It is a perfect power (a square), and thus also a powerful number.

12100 is digitally balanced in base 2, 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 only one way, i.e., 4356 + 7744 = 66^2 + 88^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a Duffinian number.

It is a plaindrome in base 13.

It is a nialpdrome in base 11.

It is a self number, because there is not a number *n* which added to its sum of digits gives 12100.

It is not an unprimeable number, because it can be changed into a prime (12101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1095 + ... + 1105.

12100 is a Friedman number, since it can be written as (110+0)^2, using all its digits and the basic arithmetic operations.

2^{12100} is an apocalyptic number.

12100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12100 is the 110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100

12100 is an abundant number, since it is smaller than the sum of its proper divisors (16761).

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

12100 is a wasteful number, since it uses less digits than its factorization.

12100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The cubic root of 12100 is about 22.9577042467.

Adding to 12100 its reverse (121), we get a palindrome (12221).

Multiplying 12100 by its reverse (121), we get a square (1464100 = 1210^{2}).

12100 divided by its reverse (121) gives a square (100 = 10^{2}).

The spelling of 12100 in words is "twelve thousand, one hundred", and thus it is an iban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100

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