The expression "100!" represents the factorial of 100, which means the product of all positive integers from 1 to 100. 

Mathematically, it's calculated as:

\[
100! = 100 \times 99 \times 98 \times \dots \times 2 \times 1
\]

The value of \(100!\) is extremely large:

\[
100! \approx 9.332621544 \times 10^{157}
\]

To be precise, the exact value is:

\[
100! = 93,326,215,443,944,152,681,699,238,856,266,700,490,715,968,264,381,621,468,592,963,895,217,599,993,229,915,608,941,463,976,156,518,286,253,697,920,827,223,758,251,185,210,916,864,000,000,000,000,000,000,000,000,000,000
\]

This value has 158 digits!

Would you like any details or have questions about factorials or other related topics?

Here are five related questions:
1. What are the properties of factorials in mathematics?
2. How is the factorial function used in permutations and combinations?
3. What is the factorial of other numbers like 50 or 10?
4. How does the factorial function relate to the Gamma function?
5. What are some common applications of factorials in probability theory?

**Tip:** Factorials grow extremely fast, so they are often used to test algorithms and for approximations in combinatorics.

Explore the factorial of 100 (100!), which is the product of all positive integers from 1 to 100. Learn its calculation, properties, and applications in mathematics. Discover why 100! equals approximately 9.332621544 x 10^157 and how it's used in combinatorics and algorithm testing. Ideal for high school students and enthusiasts of advanced mathematics.

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