101101001000971 has 2 divisors, whose sum is σ = 101101001000972. Its totient is φ = 101101001000970.

The previous prime is 101101001000969. The next prime is 101101001000977. The reversal of 101101001000971 is 179000100101101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101101001000971 - 2¹ = 101101001000969 is a prime.

Together with 101101001000969, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101101001000977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550500500485 + 50550500500486.

It is an arithmetic number, because the mean of its divisors is an integer number (50550500500486).

Almost surely, 2^{101101001000971} is an apocalyptic number.

101101001000971 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101001000971 is an equidigital number, since it uses as much as digits as its factorization.

101101001000971 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 22.

The spelling of 101101001000971 in words is "one hundred one trillion, one hundred one billion, one million, nine hundred seventy-one", and thus it is an aban number.