116101 has 2 divisors, whose sum is σ = 116102. Its totient is φ = 116100.

The previous prime is 116099. The next prime is 116107. The reversal of 116101 is 101611.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65025 + 51076 = 255^2 + 226^2 .

It is an emirp because it is prime and its reverse (101611) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 116101 - 2¹ = 116099 is a prime.

Together with 116099, it forms a pair of twin primes.

116101 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (116107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58050 + 58051.

It is an arithmetic number, because the mean of its divisors is an integer number (58051).

2¹¹⁶¹⁰¹ is an apocalyptic number.

116101 is the 216-th centered pentagonal number.

It is an amenable number.

116101 is a deficient number, since it is larger than the sum of its proper divisors (1).

116101 is an equidigital number, since it uses as much as digits as its factorization.

116101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 116101 is about 340.7359681630. The cubic root of 116101 is about 48.7841400131.

Adding to 116101 its reverse (101611), we get a palindrome (217712).

It can be divided in two parts, 11610 and 1, that added together give a palindrome (11611).

The spelling of 116101 in words is "one hundred sixteen thousand, one hundred one".