101135 has 8 divisors (see below), whose sum is σ = 123120. Its totient is φ = 79744.

The previous prime is 101119. The next prime is 101141. The reversal of 101135 is 531101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101135 - 2⁴ = 101119 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 476 + ... + 654.

It is an arithmetic number, because the mean of its divisors is an integer number (15390).

2¹⁰¹¹³⁵ is an apocalyptic number.

101135 is a deficient number, since it is larger than the sum of its proper divisors (21985).

101135 is a wasteful number, since it uses less digits than its factorization.

101135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297.

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 101135 is about 318.0172951272. The cubic root of 101135 is about 46.5908348925.

Subtracting from 101135 its sum of digits (11), we obtain a square (101124 = 318²).

Adding to 101135 its reverse (531101), we get a palindrome (632236).

The spelling of 101135 in words is "one hundred one thousand, one hundred thirty-five".