101137 has 4 divisors (see below), whose sum is σ = 106480. Its totient is φ = 95796.

The previous prime is 101119. The next prime is 101141. The reversal of 101137 is 731101.

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 a cyclic number.

It is not a de Polignac number, because 101137 - 2⁷ = 101009 is a prime.

It is a Duffinian number.

101137 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101137.

It is not an unprimeable number, because it can be changed into a prime (101107) by changing a digit.

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, 2643 + ... + 2680.

It is an arithmetic number, because the mean of its divisors is an integer number (26620).

2¹⁰¹¹³⁷ is an apocalyptic number.

It is an amenable number.

101137 is a deficient number, since it is larger than the sum of its proper divisors (5343).

101137 is an equidigital number, since it uses as much as digits as its factorization.

101137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5342.

The product of its (nonzero) digits is 21, while the sum is 13.

The square root of 101137 is about 318.0204395947. The cubic root of 101137 is about 46.5911420103.

Subtracting from 101137 its sum of digits (13), we obtain a square (101124 = 318²).

Adding to 101137 its reverse (731101), we get a palindrome (832238).

The spelling of 101137 in words is "one hundred one thousand, one hundred thirty-seven".