101361 has 16 divisors (see below), whose sum is σ = 153216. Its totient is φ = 59136.

The previous prime is 101359. The next prime is 101363. The reversal of 101361 is 163101.

It is an interprime number because it is at equal distance from previous prime (101359) and next prime (101363).

It is not a de Polignac number, because 101361 - 2¹ = 101359 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101361.

It is not an unprimeable number, because it can be changed into a prime (101363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 841 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (9576).

2¹⁰¹³⁶¹ is an apocalyptic number.

It is an amenable number.

101361 is a deficient number, since it is larger than the sum of its proper divisors (51855).

101361 is a wasteful number, since it uses less digits than its factorization.

101361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101361 is about 318.3724234289. The cubic root of 101361 is about 46.6255136064.

Adding to 101361 its reverse (163101), we get a palindrome (264462).

The spelling of 101361 in words is "one hundred one thousand, three hundred sixty-one".