100115218343209 has 8 divisors (see below), whose sum is σ = 106304644446120. Its totient is φ = 93959158419456.

The previous prime is 100115218343131. The next prime is 100115218343221. The reversal of 100115218343209 is 902343812511001.

It can be written as a sum of positive squares in 4 ways, for example, as 11649060477184 + 88466157866025 = 3413072^2 + 9405645^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100115218343209 - 2³⁵ = 100080858604841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100115218343279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8341538604 + ... + 8341550605.

It is an arithmetic number, because the mean of its divisors is an integer number (13288080555765).

Almost surely, 2^{100115218343209} is an apocalyptic number.

It is an amenable number.

100115218343209 is a deficient number, since it is larger than the sum of its proper divisors (6189426102911).

100115218343209 is a wasteful number, since it uses less digits than its factorization.

100115218343209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16683089579.

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 100115218343209 in words is "one hundred trillion, one hundred fifteen billion, two hundred eighteen million, three hundred forty-three thousand, two hundred nine".