100271117 has 16 divisors (see below), whose sum is σ = 109372032. Its totient is φ = 91553280.

The previous prime is 100271111. The next prime is 100271123. The reversal of 100271117 is 711172001.

It is an interprime number because it is at equal distance from previous prime (100271111) and next prime (100271123).

It is a cyclic number.

It is not a de Polignac number, because 100271117 - 2¹⁴ = 100254733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100271111) 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, 183038 + ... + 183584.

It is an arithmetic number, because the mean of its divisors is an integer number (6835752).

Almost surely, 2^100271117 is an apocalyptic number.

100271117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100271117 is a deficient number, since it is larger than the sum of its proper divisors (9100915).

100271117 is a wasteful number, since it uses less digits than its factorization.

100271117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868.

The product of its (nonzero) digits is 98, while the sum is 20.

The square root of 100271117 is about 10013.5466743807. The cubic root of 100271117 is about 464.5779760586.

The spelling of 100271117 in words is "one hundred million, two hundred seventy-one thousand, one hundred seventeen".