101042116441 has 18 divisors (see below), whose sum is σ = 121452727770. Its totient is φ = 83813698080.

The previous prime is 101042116327. The next prime is 101042116457. The reversal of 101042116441 is 144611240101.

It can be written as a sum of positive squares in only one way, i.e., 63910368025 + 37131748416 = 252805^2 + 192696^2 .

It is not a de Polignac number, because 101042116441 - 2⁹ = 101042115929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101042116141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1025796 + ... + 1119973.

It is an arithmetic number, because the mean of its divisors is an integer number (6747373765).

Almost surely, 2^101042116441 is an apocalyptic number.

It is an amenable number.

101042116441 is a deficient number, since it is larger than the sum of its proper divisors (20410611329).

101042116441 is an equidigital number, since it uses as much as digits as its factorization.

101042116441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145845 (or 2145807 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 101042116441 its reverse (144611240101), we get a palindrome (245653356542).

The spelling of 101042116441 in words is "one hundred one billion, forty-two million, one hundred sixteen thousand, four hundred forty-one".