78101 has 2 divisors, whose sum is σ = 78102. Its totient is φ = 78100.

The previous prime is 78079. The next prime is 78121. The reversal of 78101 is 10187.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75076 + 3025 = 274^2 + 55^2 .

It is a cyclic number.

It is not a de Polignac number, because 78101 - 2¹⁴ = 61717 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 78101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (78121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39050 + 39051.

It is an arithmetic number, because the mean of its divisors is an integer number (39051).

2⁷⁸¹⁰¹ is an apocalyptic number.

It is an amenable number.

78101 is a deficient number, since it is larger than the sum of its proper divisors (1).

78101 is an equidigital number, since it uses as much as digits as its factorization.

78101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 78101 is about 279.4655613846. The cubic root of 78101 is about 42.7450206802.

Adding to 78101 its reverse (10187), we get a palindrome (88288).

The spelling of 78101 in words is "seventy-eight thousand, one hundred one".