180101 has 4 divisors (see below), whose sum is σ = 189600. Its totient is φ = 170604.

The previous prime is 180097. The next prime is 180137. The reversal of 180101 is 101081.

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 180101 - 2² = 180097 is a prime.

It is a Duffinian number.

180101 is a modest number, since divided by 101 gives 18 as remainder.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4721 + ... + 4758.

It is an arithmetic number, because the mean of its divisors is an integer number (47400).

2¹⁸⁰¹⁰¹ is an apocalyptic number.

It is an amenable number.

180101 is a deficient number, since it is larger than the sum of its proper divisors (9499).

180101 is an equidigital number, since it uses as much as digits as its factorization.

180101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9498.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 180101 is about 424.3830816609. The cubic root of 180101 is about 56.4727202737.

Adding to 180101 its reverse (101081), we get a palindrome (281182).

The spelling of 180101 in words is "one hundred eighty thousand, one hundred one".