10111020102109 has 2 divisors, whose sum is σ = 10111020102110. Its totient is φ = 10111020102108.

The previous prime is 10111020102107. The next prime is 10111020102121. The reversal of 10111020102109 is 90120102011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5071008572100 + 5040011530009 = 2251890^2 + 2244997^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111020102109 - 2¹ = 10111020102107 is a prime.

Together with 10111020102107, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111020102107) 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, 5055510051054 + 5055510051055.

It is an arithmetic number, because the mean of its divisors is an integer number (5055510051055).

Almost surely, 2^{10111020102109} is an apocalyptic number.

It is an amenable number.

10111020102109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111020102109 is an equidigital number, since it uses as much as digits as its factorization.

10111020102109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 10111020102109 in words is "ten trillion, one hundred eleven billion, twenty million, one hundred two thousand, one hundred nine".