4101 has 4 divisors (see below), whose sum is σ = 5472. Its totient is φ = 2732.

The previous prime is 4099. The next prime is 4111. The reversal of 4101 is 1014.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 4101 - 2¹ = 4099 is a prime.

It is an Ulam number.

It is a D-number.

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

It is a plaindrome in base 9, base 12, base 14 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 4101.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4101.

It is not an unprimeable number, because it can be changed into a prime (4111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 681 + ... + 686.

It is an arithmetic number, because the mean of its divisors is an integer number (1368).

2⁴¹⁰¹ is an apocalyptic number.

4101 is the 41-st centered pentagonal number.

It is an amenable number.

4101 is a deficient number, since it is larger than the sum of its proper divisors (1371).

4101 is a wasteful number, since it uses less digits than its factorization.

4101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 4101 is about 64.0390505863. The cubic root of 4101 is about 16.0065077694.

Adding to 4101 its reverse (1014), we get a palindrome (5115).

It can be divided in two parts, 4 and 101, that multiplied together give a palindrome (404).

The spelling of 4101 in words is "four thousand, one hundred one", and thus it is an iban number.