100112120217 has 24 divisors (see below), whose sum is σ = 154104148224. Its totient is φ = 62481317184.

The previous prime is 100112120191. The next prime is 100112120243. The reversal of 100112120217 is 712021211001.

It is an interprime number because it is at equal distance from previous prime (100112120191) and next prime (100112120243).

It is not a de Polignac number, because 100112120217 - 2¹⁰ = 100112119193 is a prime.

It is a super-2 number, since 2×100112120217² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100112120217.

It is not an unprimeable number, because it can be changed into a prime (100112120417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5135308 + ... + 5154765.

It is an arithmetic number, because the mean of its divisors is an integer number (6421006176).

Almost surely, 2^100112120217 is an apocalyptic number.

It is an amenable number.

100112120217 is a deficient number, since it is larger than the sum of its proper divisors (53992028007).

100112120217 is a wasteful number, since it uses less digits than its factorization.

100112120217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10290149 (or 10290146 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

Adding to 100112120217 its reverse (712021211001), we get a palindrome (812133331218).

The spelling of 100112120217 in words is "one hundred billion, one hundred twelve million, one hundred twenty thousand, two hundred seventeen".