101666271 has 16 divisors (see below), whose sum is σ = 155061504. Its totient is φ = 58041984.

The previous prime is 101666261. The next prime is 101666281. The reversal of 101666271 is 172666101.

It is an interprime number because it is at equal distance from previous prime (101666261) and next prime (101666281).

It is not a de Polignac number, because 101666271 - 2¹⁴ = 101649887 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101666231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40855 + ... + 43271.

It is an arithmetic number, because the mean of its divisors is an integer number (9691344).

Almost surely, 2^101666271 is an apocalyptic number.

101666271 is a deficient number, since it is larger than the sum of its proper divisors (53395233).

101666271 is a wasteful number, since it uses less digits than its factorization.

101666271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4430.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 101666271 is about 10082.9693543123. The cubic root of 101666271 is about 466.7227436581.

The spelling of 101666271 in words is "one hundred one million, six hundred sixty-six thousand, two hundred seventy-one".