101971 has 4 divisors (see below), whose sum is σ = 103032. Its totient is φ = 100912.

The previous prime is 101963. The next prime is 101977. The reversal of 101971 is 179101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 101971 - 2³ = 101963 is a prime.

It is a Duffinian number.

101971 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (101977) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 370 + ... + 583.

It is an arithmetic number, because the mean of its divisors is an integer number (25758).

2¹⁰¹⁹⁷¹ is an apocalyptic number.

101971 is a deficient number, since it is larger than the sum of its proper divisors (1061).

101971 is an equidigital number, since it uses as much as digits as its factorization.

101971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060.

The product of its (nonzero) digits is 63, while the sum is 19.

The square root of 101971 is about 319.3289839648. The cubic root of 101971 is about 46.7188588399.

The spelling of 101971 in words is "one hundred one thousand, nine hundred seventy-one".