101257 has 4 divisors (see below), whose sum is σ = 109060. Its totient is φ = 93456.

The previous prime is 101221. The next prime is 101267. The reversal of 101257 is 752101.

101257 is nontrivially palindromic in base 4.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 35721 + 65536 = 189^2 + 256^2 .

It is a cyclic number.

It is not a de Polignac number, because 101257 - 2¹⁵ = 68489 is a prime.

It is a Duffinian number.

101257 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 101257.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101207) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3882 + ... + 3907.

It is an arithmetic number, because the mean of its divisors is an integer number (27265).

2¹⁰¹²⁵⁷ is an apocalyptic number.

It is an amenable number.

101257 is a deficient number, since it is larger than the sum of its proper divisors (7803).

101257 is an equidigital number, since it uses as much as digits as its factorization.

101257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7802.

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 101257 is about 318.2090507827. The cubic root of 101257 is about 46.6095616696.

Adding to 101257 its reverse (752101), we get a palindrome (853358).

The spelling of 101257 in words is "one hundred one thousand, two hundred fifty-seven".