218101 has 8 divisors (see below), whose sum is σ = 247520. Its totient is φ = 190512.

The previous prime is 218087. The next prime is 218107. The reversal of 218101 is 101812.

218101 = 98² + 99² + ... + 116².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 218101 - 2⁵ = 218069 is a prime.

It is a super-3 number, since 3×218101³ = 31123915333452903, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195 + ... + 688.

It is an arithmetic number, because the mean of its divisors is an integer number (30940).

2²¹⁸¹⁰¹ is an apocalyptic number.

It is an amenable number.

218101 is a deficient number, since it is larger than the sum of its proper divisors (29419).

218101 is a wasteful number, since it uses less digits than its factorization.

218101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915.

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 218101 is about 467.0128477890. The cubic root of 218101 is about 60.1939096792.

Adding to 218101 its reverse (101812), we get a palindrome (319913).

The spelling of 218101 in words is "two hundred eighteen thousand, one hundred one".