Is 100101121 a prime number?

100 101 121 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 100 101 121 is about 10 005.055.

Thus, the square root of 100 101 121 is not an integer, and therefore 100 101 121 is not a square number.

Anyway, 100 101 121 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 100 101 121) is the result of the product of this number (100 101 121) by itself (i.e., 100 101 121 × 100 101 121); the square of 100 101 121 is sometimes called "raising 100 101 121 to the power 2", or "100 101 121 squared".

The square of 100 101 121 is 10 020 234 425 456 640 because 100 101 121 × 100 101 121 = 100 101 121² = 10 020 234 425 456 640.

As a consequence, 100 101 121 is the square root of 10 020 234 425 456 640.

100 101 121 is a number with 9 digits.

The multiples of 100 101 121 are all integers evenly divisible by 100 101 121, that is all numbers such that the remainder of the division by 100 101 121 is zero. There are infinitely many multiples of 100 101 121. The smallest multiples of 100 101 121 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 100 101 121 too, since 0 × 100 101 121 = 0
• 100 101 121: indeed, 100 101 121 is a multiple of itself, since 100 101 121 is evenly divisible by 100 101 121 (we have 100 101 121 / 100 101 121 = 1, so the remainder of this division is indeed zero)
• 200 202 242: indeed, 200 202 242 = 100 101 121 × 2
• 300 303 363: indeed, 300 303 363 = 100 101 121 × 3
• 400 404 484: indeed, 400 404 484 = 100 101 121 × 4
• 500 505 605: indeed, 500 505 605 = 100 101 121 × 5
• etc.

• Preceding numbers: …100 101 119, 100 101 120
• Following numbers: 100 101 122, 100 101 123…

Nearest numbers from 100 101 121

• Preceding prime number: 100 101 107
• Following prime number: 100 101 173

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• 100 101 121 est-il un nombre premier ?