102251 has 2 divisors, whose sum is σ = 102252. Its totient is φ = 102250.

The previous prime is 102241. The next prime is 102253. The reversal of 102251 is 152201.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102251 is a prime.

Together with 102253, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102251.

It is not a weakly prime, because it can be changed into another prime (102253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51125 + 51126.

It is an arithmetic number, because the mean of its divisors is an integer number (51126).

2¹⁰²²⁵¹ is an apocalyptic number.

102251 is a deficient number, since it is larger than the sum of its proper divisors (1).

102251 is an equidigital number, since it uses as much as digits as its factorization.

102251 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 102251 is about 319.7671027482. The cubic root of 102251 is about 46.7615812005.

Adding to 102251 its reverse (152201), we get a palindrome (254452).

It can be divided in two parts, 102 and 251, that added together give a palindrome (353).

The spelling of 102251 in words is "one hundred two thousand, two hundred fifty-one".