101981271 has 16 divisors (see below), whose sum is σ = 155683584. Its totient is φ = 58168704.

The previous prime is 101981267. The next prime is 101981281. The reversal of 101981271 is 172189101.

It is not a de Polignac number, because 101981271 - 2² = 101981267 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101981221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8191 + ... + 16463.

It is an arithmetic number, because the mean of its divisors is an integer number (9730224).

Almost surely, 2^101981271 is an apocalyptic number.

101981271 is a deficient number, since it is larger than the sum of its proper divisors (53702313).

101981271 is an equidigital number, since it uses as much as digits as its factorization.

101981271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8870.

The product of its (nonzero) digits is 1008, while the sum is 30.

The square root of 101981271 is about 10098.5776721279. The cubic root of 101981271 is about 467.2042736848.

The spelling of 101981271 in words is "one hundred one million, nine hundred eighty-one thousand, two hundred seventy-one".