100001101011109 has 2 divisors, whose sum is σ = 100001101011110. Its totient is φ = 100001101011108.

The previous prime is 100001101011107. The next prime is 100001101011143. The reversal of 100001101011109 is 901110101100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93301400340225 + 6699700670884 = 9659265^2 + 2588378^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001101011109 - 2¹ = 100001101011107 is a prime.

Together with 100001101011107, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 100001101011092 and 100001101011101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001101011107) 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 as a sum of consecutive naturals, namely, 50000550505554 + 50000550505555.

It is an arithmetic number, because the mean of its divisors is an integer number (50000550505555).

Almost surely, 2^{100001101011109} is an apocalyptic number.

It is an amenable number.

100001101011109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001101011109 is an equidigital number, since it uses as much as digits as its factorization.

100001101011109 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 16.

The spelling of 100001101011109 in words is "one hundred trillion, one billion, one hundred one million, eleven thousand, one hundred nine".