101252 has 12 divisors (see below), whose sum is σ = 187740. Its totient is φ = 47616.

The previous prime is 101221. The next prime is 101267. The reversal of 101252 is 252101.

101252 = T₂₂₃ + T₂₂₄ + ... + T₂₂₆.

101252 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 50176 + 51076 = 224^2 + 226^2 .

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

It is a congruent number.

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 677 + ... + 812.

It is an arithmetic number, because the mean of its divisors is an integer number (15645).

2¹⁰¹²⁵² is an apocalyptic number.

It is an amenable number.

101252 is a deficient number, since it is larger than the sum of its proper divisors (86488).

101252 is a wasteful number, since it uses less digits than its factorization.

101252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 101252 is about 318.2011942152. The cubic root of 101252 is about 46.6087944744.

Adding to 101252 its reverse (252101), we get a palindrome (353353).

It can be divided in two parts, 101 and 252, that multiplied together give a palindrome (25452).

The spelling of 101252 in words is "one hundred one thousand, two hundred fifty-two".