101985971 has 2 divisors, whose sum is σ = 101985972. Its totient is φ = 101985970.

The previous prime is 101985943. The next prime is 101986019. The reversal of 101985971 is 179589101.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101985971 is a prime.

It is a super-2 number, since 2×101985971² = 20802276561625682, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101985671) 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, 50992985 + 50992986.

It is an arithmetic number, because the mean of its divisors is an integer number (50992986).

Almost surely, 2^101985971 is an apocalyptic number.

101985971 is a deficient number, since it is larger than the sum of its proper divisors (1).

101985971 is an equidigital number, since it uses as much as digits as its factorization.

101985971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 41.

The square root of 101985971 is about 10098.8103754848. The cubic root of 101985971 is about 467.2114509058.

The spelling of 101985971 in words is "one hundred one million, nine hundred eighty-five thousand, nine hundred seventy-one".