101100823 has 2 divisors, whose sum is σ = 101100824. Its totient is φ = 101100822.

The previous prime is 101100809. The next prime is 101100833. The reversal of 101100823 is 328001101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101100823 - 2¹⁷ = 100969751 is a prime.

It is a super-2 number, since 2×101100823² = 20442752822554658, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101100797 and 101100806.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550411 + 50550412.

It is an arithmetic number, because the mean of its divisors is an integer number (50550412).

Almost surely, 2^101100823 is an apocalyptic number.

101100823 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100823 is an equidigital number, since it uses as much as digits as its factorization.

101100823 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 101100823 is about 10054.8905016415. The cubic root of 101100823 is about 465.8558608527.

Adding to 101100823 its reverse (328001101), we get a palindrome (429101924).

The spelling of 101100823 in words is "one hundred one million, one hundred thousand, eight hundred twenty-three".