100801 has 2 divisors, whose sum is σ = 100802. Its totient is φ = 100800.

The previous prime is 100799. The next prime is 100811. The reversal of 100801 is 108001.

100801 = 224² + 225².

It is an a-pointer prime, because the next prime (100811) can be obtained adding 100801 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50625 + 50176 = 225^2 + 224^2 .

It is a cyclic number.

It is not a de Polignac number, because 100801 - 2¹ = 100799 is a prime.

Together with 100799, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100811) 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 as a sum of consecutive naturals, namely, 50400 + 50401.

It is an arithmetic number, because the mean of its divisors is an integer number (50401).

2¹⁰⁰⁸⁰¹ is an apocalyptic number.

100801 is the 225-th centered square number.

It is an amenable number.

100801 is a deficient number, since it is larger than the sum of its proper divisors (1).

100801 is an equidigital number, since it uses as much as digits as its factorization.

100801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 100801 is about 317.4917321758. The cubic root of 100801 is about 46.5394893284.

Adding to 100801 its reverse (108001), we get a palindrome (208802).

The spelling of 100801 in words is "one hundred thousand, eight hundred one".