5101 has 2 divisors, whose sum is σ = 5102.
Its totient is φ = 5100.
The previous prime is 5099. The next prime is 5107. The reversal of 5101 is 1015.
Adding to 5101 its reverse (1015), we get a palindrome (6116).
It can be divided in two parts, 5 and 101, that multiplied together give a palindrome (505).
5101 = 502 + 512.
It is a weak prime.
It can be written as a sum of positive squares in only one way, i.e., 2601 + 2500 = 51^2 + 50^2
It is a cyclic number.
It is not a de Polignac number, because 5101 - 21 = 5099 is a prime.
Together with 5099, it forms a pair of twin primes.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (5107) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2550 + 2551.
It is an arithmetic number, because the mean of its divisors is an integer number (2551).
5101 is the 51-st centered square number.
It is an amenable number.
5101 is a deficient number, since it is larger than the sum of its proper divisors (1).
5101 is an equidigital number, since it uses as much as digits as its factorization.
5101 is an odious number, because the sum of its binary digits is odd.
The product of its (nonzero) digits is 5, while the sum is 7.
The square root of 5101 is about 71.4212853427.
The cubic root of 5101 is about 17.2141311668.
The spelling of 5101 in words is "five thousand, one hundred one".