16101 has 6 divisors (see below), whose sum is σ = 23270. Its totient is φ = 10728.

The previous prime is 16097. The next prime is 16103. The reversal of 16101 is 10161.

It can be written as a sum of positive squares in only one way, i.e., 15876 + 225 = 126^2 + 15^2 .

It is not a de Polignac number, because 16101 - 2² = 16097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1789 = 16101 / (1 + 6 + 1 + 0 + 1).

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

It is a Duffinian number.

It is a Curzon number.

16101 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 886 + ... + 903.

2¹⁶¹⁰¹ is an apocalyptic number.

It is an amenable number.

16101 is a deficient number, since it is larger than the sum of its proper divisors (7169).

16101 is a wasteful number, since it uses less digits than its factorization.

16101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 16101 is about 126.8897158953. The cubic root of 16101 is about 25.2513314986.

Adding to 16101 its reverse (10161), we get a palindrome (26262).

The spelling of 16101 in words is "sixteen thousand, one hundred one".