29101 has 2 divisors, whose sum is σ = 29102. Its totient is φ = 29100.

The previous prime is 29077. The next prime is 29123. The reversal of 29101 is 10192.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15876 + 13225 = 126^2 + 115^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-29101 is a prime.

It is equal to p₃₁₆₃ and since 29101 and 3163 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29101.

It is not a weakly prime, because it can be changed into another prime (29131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14550 + 14551.

It is an arithmetic number, because the mean of its divisors is an integer number (14551).

2²⁹¹⁰¹ is an apocalyptic number.

It is an amenable number.

29101 is a deficient number, since it is larger than the sum of its proper divisors (1).

29101 is an equidigital number, since it uses as much as digits as its factorization.

29101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 29101 is about 170.5901521190. The cubic root of 29101 is about 30.7587940565.

Adding to 29101 its reverse (10192), we get a palindrome (39293).

The spelling of 29101 in words is "twenty-nine thousand, one hundred one".