1010010000973 has 2 divisors, whose sum is σ = 1010010000974. Its totient is φ = 1010010000972.

The previous prime is 1010010000907. The next prime is 1010010001027. The reversal of 1010010000973 is 3790000100101.

1010010000973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 791792089929 + 218217911044 = 889827^2 + 467138^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010010000973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010010000173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505005000486 + 505005000487.

It is an arithmetic number, because the mean of its divisors is an integer number (505005000487).

Almost surely, 2^{1010010000973} is an apocalyptic number.

It is an amenable number.

1010010000973 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010010000973 is an equidigital number, since it uses as much as digits as its factorization.

1010010000973 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.

The spelling of 1010010000973 in words is "one trillion, ten billion, ten million, nine hundred seventy-three", and thus it is an aban number.