100909109281 has 2 divisors, whose sum is σ = 100909109282. Its totient is φ = 100909109280.

The previous prime is 100909109243. The next prime is 100909109291. The reversal of 100909109281 is 182901909001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64029747681 + 36879361600 = 253041^2 + 192040^2 .

It is a cyclic number.

It is not a de Polignac number, because 100909109281 - 2²⁵ = 100875554849 is a prime.

It is a super-3 number, since 3×100909109281³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (100909109291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50454554640 + 50454554641.

It is an arithmetic number, because the mean of its divisors is an integer number (50454554641).

Almost surely, 2^100909109281 is an apocalyptic number.

It is an amenable number.

100909109281 is a deficient number, since it is larger than the sum of its proper divisors (1).

100909109281 is an equidigital number, since it uses as much as digits as its factorization.

100909109281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 40.

The spelling of 100909109281 in words is "one hundred billion, nine hundred nine million, one hundred nine thousand, two hundred eighty-one".