1001000100973 has 2 divisors, whose sum is σ = 1001000100974. Its totient is φ = 1001000100972.

The previous prime is 1001000100953. The next prime is 1001000101001. The reversal of 1001000100973 is 3790010001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 789535319364 + 211464781609 = 888558^2 + 459853^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001000100973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001000100913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500500050486 + 500500050487.

It is an arithmetic number, because the mean of its divisors is an integer number (500500050487).

Almost surely, 2^{1001000100973} is an apocalyptic number.

It is an amenable number.

1001000100973 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001000100973 is an equidigital number, since it uses as much as digits as its factorization.

1001000100973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 22.

Adding to 1001000100973 its reverse (3790010001001), we get a palindrome (4791010101974).

The spelling of 1001000100973 in words is "one trillion, one billion, one hundred thousand, nine hundred seventy-three".