10201 has 3 divisors (see below), whose sum is σ = 10303. Its totient is φ = 10100.

The previous prime is 10193. The next prime is 10211.

10201 = T₁₀₀ + T₁₀₁.

The square root of 10201 is 101.

It is a perfect power (a square), and thus also a powerful number.

10201 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 9801 + 400 = 99^2 + 20^2 .

It is not a de Polignac number, because 10201 - 2³ = 10193 is a prime.

It is a Smith number, since the sum of its digits (4) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (10211) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 51 + ... + 151.

10201 is a Friedman number, since it can be written as (100+1)^2, using all its digits and the basic arithmetic operations.

2¹⁰²⁰¹ is an apocalyptic number.

10201 is the 101-st square number.

10201 is the 51-st centered octagonal number.

It is an amenable number.

10201 is a deficient number, since it is larger than the sum of its proper divisors (102).

10201 is an frugal number, since it uses more digits than its factorization.

10201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The cubic root of 10201 is about 21.6877375558.

The spelling of 10201 in words is "ten thousand, two hundred one", and thus it is an iban number.