101441101001 has 2 divisors, whose sum is σ = 101441101002. Its totient is φ = 101441101000.

The previous prime is 101441100991. The next prime is 101441101033. The reversal of 101441101001 is 100101144101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57275976976 + 44165124025 = 239324^2 + 210155^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101441101001 is a prime.

It is not a weakly prime, because it can be changed into another prime (101441101501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50720550500 + 50720550501.

It is an arithmetic number, because the mean of its divisors is an integer number (50720550501).

Almost surely, 2^101441101001 is an apocalyptic number.

It is an amenable number.

101441101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101441101001 is an equidigital number, since it uses as much as digits as its factorization.

101441101001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101441101001 its reverse (100101144101), we get a palindrome (201542245102).

The spelling of 101441101001 in words is "one hundred one billion, four hundred forty-one million, one hundred one thousand, one".