Is 10201001 a prime number?

10 201 001 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 10 201 001 is about 3 193.901.

Thus, the square root of 10 201 001 is not an integer, and therefore 10 201 001 is not a square number.

Anyway, 10 201 001 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 10 201 001) is the result of the product of this number (10 201 001) by itself (i.e., 10 201 001 × 10 201 001); the square of 10 201 001 is sometimes called "raising 10 201 001 to the power 2", or "10 201 001 squared".

The square of 10 201 001 is 104 060 421 402 001 because 10 201 001 × 10 201 001 = 10 201 001² = 104 060 421 402 001.

As a consequence, 10 201 001 is the square root of 104 060 421 402 001.

10 201 001 is a number with 8 digits.

The multiples of 10 201 001 are all integers evenly divisible by 10 201 001, that is all numbers such that the remainder of the division by 10 201 001 is zero. There are infinitely many multiples of 10 201 001. The smallest multiples of 10 201 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10 201 001 too, since 0 × 10 201 001 = 0
• 10 201 001: indeed, 10 201 001 is a multiple of itself, since 10 201 001 is evenly divisible by 10 201 001 (we have 10 201 001 / 10 201 001 = 1, so the remainder of this division is indeed zero)
• 20 402 002: indeed, 20 402 002 = 10 201 001 × 2
• 30 603 003: indeed, 30 603 003 = 10 201 001 × 3
• 40 804 004: indeed, 40 804 004 = 10 201 001 × 4
• 51 005 005: indeed, 51 005 005 = 10 201 001 × 5
• etc.

• Preceding numbers: …10 200 999, 10 201 000
• Following numbers: 10 201 002, 10 201 003…

Nearest numbers from 10 201 001

• Preceding prime number: 10 200 991
• Following prime number: 10 201 007

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• 10 201 001 est-il un nombre premier ?