115216101 has 160 divisors (see below), whose sum is σ = 243936000. Its totient is φ = 53343360.

The previous prime is 115216099. The next prime is 115216103. The reversal of 115216101 is 101612511.

It is a happy number.

115216101 is a `hidden beast` number, since 1 + 1 + 52 + 1 + 610 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (115216099) and next prime (115216103).

It is not a de Polignac number, because 115216101 - 2¹ = 115216099 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115216103) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3972955 + ... + 3972983.

It is an arithmetic number, because the mean of its divisors is an integer number (1524600).

Almost surely, 2^115216101 is an apocalyptic number.

115216101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

115216101 is an abundant number, since it is smaller than the sum of its proper divisors (128719899).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115216101 is a wasteful number, since it uses less digits than its factorization.

115216101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The square root of 115216101 is about 10733.8763268448. The cubic root of 115216101 is about 486.5988274635.

Adding to 115216101 its reverse (101612511), we get a palindrome (216828612).

The spelling of 115216101 in words is "one hundred fifteen million, two hundred sixteen thousand, one hundred one".