Is 21001121 a prime number?

21 001 121 is an odd number, because it is not evenly divisible by 2.

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• What is an even number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 21 001 121 is about 4 582.698.

Thus, the square root of 21 001 121 is not an integer, and therefore 21 001 121 is not a square number.

Anyway, 21 001 121 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 21 001 121) is the result of the product of this number (21 001 121) by itself (i.e., 21 001 121 × 21 001 121); the square of 21 001 121 is sometimes called "raising 21 001 121 to the power 2", or "21 001 121 squared".

The square of 21 001 121 is 441 047 083 256 641 because 21 001 121 × 21 001 121 = 21 001 121² = 441 047 083 256 641.

As a consequence, 21 001 121 is the square root of 441 047 083 256 641.

21 001 121 is a number with 8 digits.

The multiples of 21 001 121 are all integers evenly divisible by 21 001 121, that is all numbers such that the remainder of the division by 21 001 121 is zero. There are infinitely many multiples of 21 001 121. The smallest multiples of 21 001 121 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 21 001 121 too, since 0 × 21 001 121 = 0
• 21 001 121: indeed, 21 001 121 is a multiple of itself, since 21 001 121 is evenly divisible by 21 001 121 (we have 21 001 121 / 21 001 121 = 1, so the remainder of this division is indeed zero)
• 42 002 242: indeed, 42 002 242 = 21 001 121 × 2
• 63 003 363: indeed, 63 003 363 = 21 001 121 × 3
• 84 004 484: indeed, 84 004 484 = 21 001 121 × 4
• 105 005 605: indeed, 105 005 605 = 21 001 121 × 5
• etc.

• Preceding numbers: …21 001 119, 21 001 120
• Following numbers: 21 001 122, 21 001 123…

Nearest numbers from 21 001 121

• Preceding prime number: 21 001 117
• Following prime number: 21 001 153

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• 21 001 121 est-il un nombre premier ?