101242561 has 16 divisors (see below), whose sum is σ = 119677824. Its totient is φ = 83850624.

The previous prime is 101242553. The next prime is 101242577. The reversal of 101242561 is 165242101.

It is a cyclic number.

It is not a de Polignac number, because 101242561 - 2³ = 101242553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101242591) 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 in 15 ways as a sum of consecutive naturals, for example, 22821 + ... + 26893.

It is an arithmetic number, because the mean of its divisors is an integer number (7479864).

Almost surely, 2^101242561 is an apocalyptic number.

It is an amenable number.

101242561 is a deficient number, since it is larger than the sum of its proper divisors (18435263).

101242561 is an equidigital number, since it uses as much as digits as its factorization.

101242561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200.

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 101242561 is about 10061.9362450773. The cubic root of 101242561 is about 466.0734609456.

Adding to 101242561 its reverse (165242101), we get a palindrome (266484662).

The spelling of 101242561 in words is "one hundred one million, two hundred forty-two thousand, five hundred sixty-one".