102401 has 4 divisors (see below), whose sum is σ = 110292. Its totient is φ = 94512.

The previous prime is 102397. The next prime is 102407. The reversal of 102401 is 104201.

It is a Cunningham number, because it is equal to 320²+1.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 104201 = 79 ⋅1319.

It can be written as a sum of positive squares in 2 ways, for example, as 15376 + 87025 = 124^2 + 295^2 .

It is a cyclic number.

It is not a de Polignac number, because 102401 - 2² = 102397 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102407) 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, 3926 + ... + 3951.

It is an arithmetic number, because the mean of its divisors is an integer number (27573).

It is a Proth number, since it is equal to 25 ⋅ 2¹² + 1 and 25 < 2¹².

2¹⁰²⁴⁰¹ is an apocalyptic number.

It is an amenable number.

102401 is a deficient number, since it is larger than the sum of its proper divisors (7891).

102401 is an equidigital number, since it uses as much as digits as its factorization.

102401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7890.

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

The square root of 102401 is about 320.0015624962. The cubic root of 102401 is about 46.7844361035.

Adding to 102401 its reverse (104201), we get a palindrome (206602).

The spelling of 102401 in words is "one hundred two thousand, four hundred one", and thus it is an iban number.