1001011101073 has 2 divisors, whose sum is σ = 1001011101074. Its totient is φ = 1001011101072.

The previous prime is 1001011101059. The next prime is 1001011101109. The reversal of 1001011101073 is 3701011101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 904226024464 + 96785076609 = 950908^2 + 311103^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001011101073 - 2²¹ = 1001009003921 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001011101043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500505550536 + 500505550537.

It is an arithmetic number, because the mean of its divisors is an integer number (500505550537).

Almost surely, 2^{1001011101073} is an apocalyptic number.

It is an amenable number.

1001011101073 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001011101073 is an equidigital number, since it uses as much as digits as its factorization.

1001011101073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 16.

Adding to 1001011101073 its reverse (3701011101001), we get a palindrome (4702022202074).

The spelling of 1001011101073 in words is "one trillion, one billion, eleven million, one hundred one thousand, seventy-three".