10100000999971 has 2 divisors, whose sum is σ = 10100000999972. Its totient is φ = 10100000999970.

The previous prime is 10100000999969. The next prime is 10100000999989. The reversal of 10100000999971 is 17999900000101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10100000999971 - 2¹ = 10100000999969 is a prime.

Together with 10100000999969, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10100000999941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000499985 + 5050000499986.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000499986).

Almost surely, 2^{10100000999971} is an apocalyptic number.

10100000999971 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100000999971 is an equidigital number, since it uses as much as digits as its factorization.

10100000999971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45927, while the sum is 46.

The spelling of 10100000999971 in words is "ten trillion, one hundred billion, nine hundred ninety-nine thousand, nine hundred seventy-one".