115116101 has 2 divisors, whose sum is σ = 115116102. Its totient is φ = 115116100.

The previous prime is 115116091. The next prime is 115116121. The reversal of 115116101 is 101611511.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62568100 + 52548001 = 7910^2 + 7249^2 .

It is a cyclic number.

It is not a de Polignac number, because 115116101 - 2¹⁴ = 115099717 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 115116101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (115116121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57558050 + 57558051.

It is an arithmetic number, because the mean of its divisors is an integer number (57558051).

Almost surely, 2^115116101 is an apocalyptic number.

It is an amenable number.

115116101 is a deficient number, since it is larger than the sum of its proper divisors (1).

115116101 is an equidigital number, since it uses as much as digits as its factorization.

115116101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30, while the sum is 17.

The square root of 115116101 is about 10729.2171662242. The cubic root of 115116101 is about 486.4580081192.

Adding to 115116101 its reverse (101611511), we get a palindrome (216727612).

The spelling of 115116101 in words is "one hundred fifteen million, one hundred sixteen thousand, one hundred one".