100100002909 has 2 divisors, whose sum is σ = 100100002910. Its totient is φ = 100100002908.

The previous prime is 100100002907. The next prime is 100100002949. The reversal of 100100002909 is 909200001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74610922500 + 25489080409 = 273150^2 + 159653^2 .

It is an emirp because it is prime and its reverse (909200001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100100002909 - 2¹ = 100100002907 is a prime.

It is a super-3 number, since 3×100100002909³ (a number of 34 digits) contains 333 as substring.

Together with 100100002907, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 100100002909.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100002901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050001454 + 50050001455.

It is an arithmetic number, because the mean of its divisors is an integer number (50050001455).

Almost surely, 2^100100002909 is an apocalyptic number.

It is an amenable number.

100100002909 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100002909 is an equidigital number, since it uses as much as digits as its factorization.

100100002909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 22.

The spelling of 100100002909 in words is "one hundred billion, one hundred million, two thousand, nine hundred nine".