2102111111 has 2 divisors, whose sum is σ = 2102111112. Its totient is φ = 2102111110.

The previous prime is 2102111101. The next prime is 2102111161. The reversal of 2102111111 is 1111112012.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2102111111 is a prime.

It is a super-2 number, since 2×2102111111² = 8837742245979308642, which contains 22 as substring.

It is a Sophie Germain prime.

2102111111 is a modest number, since divided by 111111 gives 2102 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2102111092 and 2102111101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102111101) 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, 1051055555 + 1051055556.

It is an arithmetic number, because the mean of its divisors is an integer number (1051055556).

Almost surely, 2^2102111111 is an apocalyptic number.

2102111111 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102111111 is an equidigital number, since it uses as much as digits as its factorization.

2102111111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

The square root of 2102111111 is about 45848.7852728946. The cubic root of 2102111111 is about 1281.0081394877.

Adding to 2102111111 its reverse (1111112012), we get a palindrome (3213223123).

Subtracting from 2102111111 its reverse (1111112012), we obtain a palindrome (990999099).

The spelling of 2102111111 in words is "two billion, one hundred two million, one hundred eleven thousand, one hundred eleven".