101243225 has 24 divisors (see below), whose sum is σ = 128627928. Its totient is φ = 79027200.

The previous prime is 101243201. The next prime is 101243237. The reversal of 101243225 is 522342101.

It can be written as a sum of positive squares in 12 ways, for example, as 35617024 + 65626201 = 5968^2 + 8101^2 .

It is not a de Polignac number, because 101243225 - 2¹⁰ = 101242201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101243197 and 101243206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300257 + ... + 300593.

It is an arithmetic number, because the mean of its divisors is an integer number (5359497).

Almost surely, 2^101243225 is an apocalyptic number.

It is an amenable number.

101243225 is a deficient number, since it is larger than the sum of its proper divisors (27384703).

101243225 is a wasteful number, since it uses less digits than its factorization.

101243225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 101243225 is about 10061.9692406606. The cubic root of 101243225 is about 466.0744798586.

Adding to 101243225 its reverse (522342101), we get a palindrome (623585326).

The spelling of 101243225 in words is "one hundred one million, two hundred forty-three thousand, two hundred twenty-five".