10001010000973 has 2 divisors, whose sum is σ = 10001010000974. Its totient is φ = 10001010000972.

The previous prime is 10001010000967. The next prime is 10001010001027. The reversal of 10001010000973 is 37900001010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6789161782404 + 3211848218569 = 2605602^2 + 1792163^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001010000973 - 2²⁹ = 10000473130061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001014000973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000505000486 + 5000505000487.

It is an arithmetic number, because the mean of its divisors is an integer number (5000505000487).

Almost surely, 2^{10001010000973} is an apocalyptic number.

It is an amenable number.

10001010000973 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001010000973 is an equidigital number, since it uses as much as digits as its factorization.

10001010000973 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 10001010000973 its reverse (37900001010001), we get a palindrome (47901011010974).

The spelling of 10001010000973 in words is "ten trillion, one billion, ten million, nine hundred seventy-three", and thus it is an aban number.