2111010100109 has 2 divisors, whose sum is σ = 2111010100110. Its totient is φ = 2111010100108.

The previous prime is 2111010100037. The next prime is 2111010100163. The reversal of 2111010100109 is 9010010101112.

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., 1723351945225 + 387658154884 = 1312765^2 + 622622^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111010100109 - 2⁴⁰ = 1011498472333 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2111010100709) 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, 1055505050054 + 1055505050055.

It is an arithmetic number, because the mean of its divisors is an integer number (1055505050055).

Almost surely, 2^{2111010100109} is an apocalyptic number.

It is an amenable number.

2111010100109 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111010100109 is an equidigital number, since it uses as much as digits as its factorization.

2111010100109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 2111010100109 in words is "two trillion, one hundred eleven billion, ten million, one hundred thousand, one hundred nine".