100101103209 has 10 divisors (see below), whose sum is σ = 149533746890. Its totient is φ = 66734068752.

The previous prime is 100101103187. The next prime is 100101103253. The reversal of 100101103209 is 902301101001.

It can be written as a sum of positive squares in only one way, i.e., 99980542809 + 120560400 = 316197^2 + 10980^2 .

It is not a de Polignac number, because 100101103209 - 2¹⁵ = 100101070441 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100101103191 and 100101103200.

It is not an unprimeable number, because it can be changed into a prime (100101103279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 617907964 + ... + 617908125.

It is an arithmetic number, because the mean of its divisors is an integer number (14953374689).

Almost surely, 2^100101103209 is an apocalyptic number.

It is an amenable number.

100101103209 is a deficient number, since it is larger than the sum of its proper divisors (49432643681).

100101103209 is an equidigital number, since it uses as much as digits as its factorization.

100101103209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235816101 (or 1235816092 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The spelling of 100101103209 in words is "one hundred billion, one hundred one million, one hundred three thousand, two hundred nine".