101253 has 4 divisors (see below), whose sum is σ = 135008. Its totient is φ = 67500.

The previous prime is 101221. The next prime is 101267. The reversal of 101253 is 352101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 101253 - 2⁵ = 101221 is a prime.

It is a D-number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101203) 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, 16873 + ... + 16878.

It is an arithmetic number, because the mean of its divisors is an integer number (33752).

2¹⁰¹²⁵³ is an apocalyptic number.

It is an amenable number.

101253 is a deficient number, since it is larger than the sum of its proper divisors (33755).

101253 is an equidigital number, since it uses as much as digits as its factorization.

101253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33754.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 101253 is about 318.2027655442. The cubic root of 101253 is about 46.6089479155.

Adding to 101253 its reverse (352101), we get a palindrome (453354).

The spelling of 101253 in words is "one hundred one thousand, two hundred fifty-three".