101801 has 4 divisors (see below), whose sum is σ = 116352. Its totient is φ = 87252.

The previous prime is 101797. The next prime is 101807. The reversal of 101801 is 108101.

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, and also an emirpimes, since its reverse is a distinct semiprime: 108101 = 7 ⋅15443.

It is a cyclic number.

It is not a de Polignac number, because 101801 - 2² = 101797 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101807) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7265 + ... + 7278.

It is an arithmetic number, because the mean of its divisors is an integer number (29088).

2¹⁰¹⁸⁰¹ is an apocalyptic number.

It is an amenable number.

101801 is a deficient number, since it is larger than the sum of its proper divisors (14551).

101801 is an equidigital number, since it uses as much as digits as its factorization.

101801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14550.

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

The square root of 101801 is about 319.0626897649. The cubic root of 101801 is about 46.6928820959.

Adding to 101801 its reverse (108101), we get a palindrome (209902).

The spelling of 101801 in words is "one hundred one thousand, eight hundred one".