101251 has 6 divisors (see below), whose sum is σ = 108060. Its totient is φ = 94608.

The previous prime is 101221. The next prime is 101267. The reversal of 101251 is 152101.

It is a happy number.

It is not a de Polignac number, because 101251 - 2¹³ = 93059 is a prime.

It is a Duffinian number.

101251 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (101221) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1351 + ... + 1423.

It is an arithmetic number, because the mean of its divisors is an integer number (18010).

2¹⁰¹²⁵¹ is an apocalyptic number.

101251 is a deficient number, since it is larger than the sum of its proper divisors (6809).

101251 is an frugal number, since it uses more digits than its factorization.

101251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 92 counting only the distinct ones).

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

The square root of 101251 is about 318.1996228785. The cubic root of 101251 is about 46.6086410324.

Adding to 101251 its reverse (152101), we get a palindrome (253352).

The spelling of 101251 in words is "one hundred one thousand, two hundred fifty-one".