101997971 has 2 divisors, whose sum is σ = 101997972. Its totient is φ = 101997970.

The previous prime is 101997941. The next prime is 101997997. The reversal of 101997971 is 179799101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101997971 - 2¹⁸ = 101735827 is a prime.

It is not a weakly prime, because it can be changed into another prime (101997941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50998985 + 50998986.

It is an arithmetic number, because the mean of its divisors is an integer number (50998986).

Almost surely, 2^101997971 is an apocalyptic number.

101997971 is a deficient number, since it is larger than the sum of its proper divisors (1).

101997971 is an equidigital number, since it uses as much as digits as its factorization.

101997971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35721, while the sum is 44.

The square root of 101997971 is about 10099.4044873943. The cubic root of 101997971 is about 467.2297747251.

The spelling of 101997971 in words is "one hundred one million, nine hundred ninety-seven thousand, nine hundred seventy-one".