1010001000971 has 2 divisors, whose sum is σ = 1010001000972. Its totient is φ = 1010001000970.

The previous prime is 1010001000959. The next prime is 1010001001007. The reversal of 1010001000971 is 1790001000101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1010001000971 - 2¹⁰ = 1010000999947 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010001000871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505000500485 + 505000500486.

It is an arithmetic number, because the mean of its divisors is an integer number (505000500486).

Almost surely, 2^{1010001000971} is an apocalyptic number.

1010001000971 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010001000971 is an equidigital number, since it uses as much as digits as its factorization.

1010001000971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 20.

The spelling of 1010001000971 in words is "one trillion, ten billion, one million, nine hundred seventy-one", and thus it is an aban number.