116412101 has 12 divisors (see below), whose sum is σ = 129469572. Its totient is φ = 104547456.

The previous prime is 116412077. The next prime is 116412139. The reversal of 116412101 is 101214611.

It can be written as a sum of positive squares in 6 ways, for example, as 2563201 + 113848900 = 1601^2 + 10670^2 .

It is not a de Polignac number, because 116412101 - 2¹⁰ = 116411077 is a prime.

It is a Duffinian number.

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 116412101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116412001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3056 + ... + 15561.

It is an arithmetic number, because the mean of its divisors is an integer number (10789131).

Almost surely, 2^116412101 is an apocalyptic number.

It is an amenable number.

116412101 is a deficient number, since it is larger than the sum of its proper divisors (13057471).

116412101 is a wasteful number, since it uses less digits than its factorization.

116412101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18680 (or 18667 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 116412101 is about 10789.4439615765. The cubic root of 116412101 is about 488.2767469160.

Adding to 116412101 its reverse (101214611), we get a palindrome (217626712).

The spelling of 116412101 in words is "one hundred sixteen million, four hundred twelve thousand, one hundred one".