102201 has 16 divisors (see below), whose sum is σ = 157440. Its totient is φ = 58320.

The previous prime is 102199. The next prime is 102203.

It is a happy number.

102201 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (102199) and next prime (102203).

It is not a de Polignac number, because 102201 - 2¹ = 102199 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546 + ... + 708.

It is an arithmetic number, because the mean of its divisors is an integer number (9840).

2¹⁰²²⁰¹ is an apocalyptic number.

102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102201 is a deficient number, since it is larger than the sum of its proper divisors (55239).

102201 is a wasteful number, since it uses less digits than its factorization.

102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196.

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

The square root of 102201 is about 319.6889112872. The cubic root of 102201 is about 46.7539579327.

It can be divided in two parts, 102 and 201, that multiplied together give a palindrome (20502).

The spelling of 102201 in words is "one hundred two thousand, two hundred one", and thus it is an iban number.