10101111000971 has 2 divisors, whose sum is σ = 10101111000972. Its totient is φ = 10101111000970.

The previous prime is 10101111000961. The next prime is 10101111001031. The reversal of 10101111000971 is 17900011110101.

10101111000971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10101111000971 - 2⁴² = 5703064489867 is a prime.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (10101111000961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050555500485 + 5050555500486.

It is an arithmetic number, because the mean of its divisors is an integer number (5050555500486).

Almost surely, 2^{10101111000971} is an apocalyptic number.

10101111000971 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101111000971 is an equidigital number, since it uses as much as digits as its factorization.

10101111000971 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63, while the sum is 23.

The spelling of 10101111000971 in words is "ten trillion, one hundred one billion, one hundred eleven million, nine hundred seventy-one", and thus it is an aban number.