101561305441 has 4 divisors (see below), whose sum is σ = 101653887492. Its totient is φ = 101468723392.

The previous prime is 101561305403. The next prime is 101561305519. The reversal of 101561305441 is 144503165101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 144503165101 = 53899 ⋅2680999.

It can be written as a sum of positive squares in 2 ways, for example, as 73094529600 + 28466775841 = 270360^2 + 168721^2 .

It is a cyclic number.

It is not a de Polignac number, because 101561305441 - 2³⁵ = 67201567073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101561305541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46289380 + ... + 46291573.

It is an arithmetic number, because the mean of its divisors is an integer number (25413471873).

Almost surely, 2^101561305441 is an apocalyptic number.

It is an amenable number.

101561305441 is a deficient number, since it is larger than the sum of its proper divisors (92582051).

101561305441 is an equidigital number, since it uses as much as digits as its factorization.

101561305441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92582050.

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 101561305441 in words is "one hundred one billion, five hundred sixty-one million, three hundred five thousand, four hundred forty-one".