10010001000973 has 2 divisors, whose sum is σ = 10010001000974. Its totient is φ = 10010001000972.

The previous prime is 10010001000971. The next prime is 10010001001009. The reversal of 10010001000973 is 37900010001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5306559138409 + 4703441862564 = 2303597^2 + 2168742^2 .

It is an emirp because it is prime and its reverse (37900010001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10010001000973 - 2¹ = 10010001000971 is a prime.

It is a super-3 number, since 3×10010001000973³ (a number of 40 digits) contains 333 as substring.

Together with 10010001000971, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010001000971) 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, 5005000500486 + 5005000500487.

It is an arithmetic number, because the mean of its divisors is an integer number (5005000500487).

Almost surely, 2^{10010001000973} is an apocalyptic number.

It is an amenable number.

10010001000973 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010001000973 is an equidigital number, since it uses as much as digits as its factorization.

10010001000973 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10010001000973 its reverse (37900010001001), we get a palindrome (47910011001974).

The spelling of 10010001000973 in words is "ten trillion, ten billion, one million, nine hundred seventy-three", and thus it is an aban number.