100010201999971 has 2 divisors, whose sum is σ = 100010201999972. Its totient is φ = 100010201999970.

The previous prime is 100010201999921. The next prime is 100010201999977. The reversal of 100010201999971 is 179999102010001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100010201999971 - 2³⁹ = 99460446186083 is a prime.

It is not a weakly prime, because it can be changed into another prime (100010201999977) 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, 50005100999985 + 50005100999986.

It is an arithmetic number, because the mean of its divisors is an integer number (50005100999986).

Almost surely, 2^{100010201999971} is an apocalyptic number.

100010201999971 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010201999971 is an equidigital number, since it uses as much as digits as its factorization.

100010201999971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 91854, while the sum is 49.

The spelling of 100010201999971 in words is "one hundred trillion, ten billion, two hundred one million, nine hundred ninety-nine thousand, nine hundred seventy-one".