101144303441101 has 8 divisors (see below), whose sum is σ = 101209171472640. Its totient is φ = 101079437905248.

The previous prime is 101144303441033. The next prime is 101144303441107.

101144303441101 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101144303441101 - 2⁹ = 101144303440589 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101144303441101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101144303441107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84144420 + ... + 85337986.

It is an arithmetic number, because the mean of its divisors is an integer number (12651146434080).

Almost surely, 2^{101144303441101} is an apocalyptic number.

It is an amenable number.

101144303441101 is a deficient number, since it is larger than the sum of its proper divisors (64868031539).

101144303441101 is a wasteful number, since it uses less digits than its factorization.

101144303441101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247843.

The product of its (nonzero) digits is 2304, while the sum is 28.

It can be divided in two parts, 10114430 and 3441101, that added together give a palindrome (13555531).

The spelling of 101144303441101 in words is "one hundred one trillion, one hundred forty-four billion, three hundred three million, four hundred forty-one thousand, one hundred one".