2100000000011 has 2 divisors, whose sum is σ = 2100000000012. Its totient is φ = 2100000000010.

The previous prime is 2099999999983. The next prime is 2100000000031. The reversal of 2100000000011 is 1100000000012.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2100000000011 - 2³⁴ = 2082820130827 is a prime.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 2099999999923 and 2100000000004.

It is not a weakly prime, because it can be changed into another prime (2100000000031) 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, 1050000000005 + 1050000000006.

It is an arithmetic number, because the mean of its divisors is an integer number (1050000000006).

Almost surely, 2^{2100000000011} is an apocalyptic number.

2100000000011 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100000000011 is an equidigital number, since it uses as much as digits as its factorization.

2100000000011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 2100000000011 its reverse (1100000000012), we get a palindrome (3200000000023).

Subtracting from 2100000000011 its reverse (1100000000012), we obtain a palindrome (999999999999).

The spelling of 2100000000011 in words is "two trillion, one hundred billion, eleven", and thus it is an aban number.