101101001080073 has 2 divisors, whose sum is σ = 101101001080074. Its totient is φ = 101101001080072.

The previous prime is 101101001080067. The next prime is 101101001080091. The reversal of 101101001080073 is 370080100101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99140096575744 + 1960904504329 = 9956912^2 + 1400323^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101001080073 - 2³² = 101096706112777 is a prime.

It is not a weakly prime, because it can be changed into another prime (101101001082073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550500540036 + 50550500540037.

It is an arithmetic number, because the mean of its divisors is an integer number (50550500540037).

Almost surely, 2^{101101001080073} is an apocalyptic number.

It is an amenable number.

101101001080073 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101001080073 is an equidigital number, since it uses as much as digits as its factorization.

101101001080073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 23.

Adding to 101101001080073 its reverse (370080100101101), we get a palindrome (471181101181174).

The spelling of 101101001080073 in words is "one hundred one trillion, one hundred one billion, one million, eighty thousand, seventy-three".