2111101009 has 2 divisors, whose sum is σ = 2111101010. Its totient is φ = 2111101008.

The previous prime is 2111100997. The next prime is 2111101019. The reversal of 2111101009 is 9001011112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2045571984 + 65529025 = 45228^2 + 8095^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111101009 - 2⁷ = 2111100881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2111100983 and 2111101001.

It is not a weakly prime, because it can be changed into another prime (2111101019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055550504 + 1055550505.

It is an arithmetic number, because the mean of its divisors is an integer number (1055550505).

Almost surely, 2^2111101009 is an apocalyptic number.

It is an amenable number.

2111101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111101009 is an equidigital number, since it uses as much as digits as its factorization.

2111101009 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 16.

The square root of 2111101009 is about 45946.7192408773. The cubic root of 2111101009 is about 1282.8316642125.

The spelling of 2111101009 in words is "two billion, one hundred eleven million, one hundred one thousand, nine".