101031123073 has 2 divisors, whose sum is σ = 101031123074. Its totient is φ = 101031123072.

The previous prime is 101031123001. The next prime is 101031123077. The reversal of 101031123073 is 370321130101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60946278129 + 40084844944 = 246873^2 + 200212^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101031123073 is a prime.

It is not a weakly prime, because it can be changed into another prime (101031123077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50515561536 + 50515561537.

It is an arithmetic number, because the mean of its divisors is an integer number (50515561537).

Almost surely, 2^101031123073 is an apocalyptic number.

It is an amenable number.

101031123073 is a deficient number, since it is larger than the sum of its proper divisors (1).

101031123073 is an equidigital number, since it uses as much as digits as its factorization.

101031123073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 22.

Adding to 101031123073 its reverse (370321130101), we get a palindrome (471352253174).

The spelling of 101031123073 in words is "one hundred one billion, thirty-one million, one hundred twenty-three thousand, seventy-three".