101701 has 2 divisors, whose sum is σ = 101702. Its totient is φ = 101700.

The previous prime is 101693. The next prime is 101719. The reversal of 101701 is 107101.

101701 = 225² + 226².

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51076 + 50625 = 226^2 + 225^2 .

It is an emirp because it is prime and its reverse (107101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101701 - 2³ = 101693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50850 + 50851.

It is an arithmetic number, because the mean of its divisors is an integer number (50851).

2¹⁰¹⁷⁰¹ is an apocalyptic number.

101701 is the 226-th centered square number.

It is an amenable number.

101701 is a deficient number, since it is larger than the sum of its proper divisors (1).

101701 is an equidigital number, since it uses as much as digits as its factorization.

101701 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 10.

The square root of 101701 is about 318.9059422463. The cubic root of 101701 is about 46.6775881468.

Adding to 101701 its reverse (107101), we get a palindrome (208802).

It can be divided in two parts, 10 and 1701, that added together give a triangular number (1711 = T₅₈).

The spelling of 101701 in words is "one hundred one thousand, seven hundred one", and thus it is an iban number.