101201 has 4 divisors (see below), whose sum is σ = 107172. Its totient is φ = 95232.

The previous prime is 101197. The next prime is 101203. The reversal of 101201 is 102101.

101201 = 69^{2} + 70^{2} + ... + 85^{2}.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 30976 + 70225 = 176^2 + 265^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201 - 2^{2} = 101197 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101203) 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, 2960 + ... + 2993.

It is an arithmetic number, because the mean of its divisors is an integer number (26793).

2^{101201} is an apocalyptic number.

It is an amenable number.

101201 is a deficient number, since it is larger than the sum of its proper divisors (5971).

101201 is an equidigital number, since it uses as much as digits as its factorization.

101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5970.

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 101201 is about 318.1210461444. The cubic root of 101201 is about 46.6009676406.

Adding to 101201 its reverse (102101), we get a palindrome (203302).

Subtracting 101201 from its reverse (102101), we obtain a square (900 = 30^{2}).

Multiplying 101201 by its reverse (102101), we get a palindrome (10332723301).

It can be divided in two parts, 101 and 201, that multiplied together give a triangular number (20301 = T_{201}).

The spelling of 101201 in words is "one hundred one thousand, two hundred one", and thus it is an iban number.

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