101010100000109 has 2 divisors, whose sum is σ = 101010100000110. Its totient is φ = 101010100000108.

The previous prime is 101010100000081. The next prime is 101010100000111. The reversal of 101010100000109 is 901000001010101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96144202249225 + 4865897750884 = 9805315^2 + 2205878^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010100000109 - 2²⁰ = 101010098951533 is a prime.

Together with 101010100000111, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101010100000093 and 101010100000102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010100060109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505050000054 + 50505050000055.

It is an arithmetic number, because the mean of its divisors is an integer number (50505050000055).

Almost surely, 2^{101010100000109} is an apocalyptic number.

It is an amenable number.

101010100000109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010100000109 is an equidigital number, since it uses as much as digits as its factorization.

101010100000109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 101010100000109 in words is "one hundred one trillion, ten billion, one hundred million, one hundred nine", and thus it is an aban number.