101144201344441 has 16 divisors (see below), whose sum is σ = 101372992680960. Its totient is φ = 100915727613120.

The previous prime is 101144201344429. The next prime is 101144201344457. The reversal of 101144201344441 is 144443102441101.

It is a cyclic number.

It is not a de Polignac number, because 101144201344441 - 2¹⁷ = 101144201213369 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101144201344397 and 101144201344406.

It is not an unprimeable number, because it can be changed into a prime (101144201344471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3343263271 + ... + 3343293523.

It is an arithmetic number, because the mean of its divisors is an integer number (6335812042560).

Almost surely, 2^{101144201344441} is an apocalyptic number.

It is an amenable number.

101144201344441 is a deficient number, since it is larger than the sum of its proper divisors (228791336519).

101144201344441 is a wasteful number, since it uses less digits than its factorization.

101144201344441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35256.

The product of its (nonzero) digits is 24576, while the sum is 34.

Adding to 101144201344441 its reverse (144443102441101), we get a palindrome (245587303785542).

The spelling of 101144201344441 in words is "one hundred one trillion, one hundred forty-four billion, two hundred one million, three hundred forty-four thousand, four hundred forty-one".