101225833 has 2 divisors, whose sum is σ = 101225834. Its totient is φ = 101225832.

The previous prime is 101225809. The next prime is 101225849. The reversal of 101225833 is 338522101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63808144 + 37417689 = 7988^2 + 6117^2 .

It is a cyclic number.

It is not a de Polignac number, because 101225833 - 2⁵ = 101225801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101225798 and 101225807.

It is not a weakly prime, because it can be changed into another prime (101225893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50612916 + 50612917.

It is an arithmetic number, because the mean of its divisors is an integer number (50612917).

Almost surely, 2^101225833 is an apocalyptic number.

It is an amenable number.

101225833 is a deficient number, since it is larger than the sum of its proper divisors (1).

101225833 is an equidigital number, since it uses as much as digits as its factorization.

101225833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 101225833 is about 10061.1049591981. The cubic root of 101225833 is about 466.0477902322.

Adding to 101225833 its reverse (338522101), we get a palindrome (439747934).

The spelling of 101225833 in words is "one hundred one million, two hundred twenty-five thousand, eight hundred thirty-three".