2102111112011 has 2 divisors, whose sum is σ = 2102111112012. Its totient is φ = 2102111112010.

The previous prime is 2102111111927. The next prime is 2102111112037. The reversal of 2102111112011 is 1102111112012.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2102111112011 is a prime.

It is a super-2 number, since 2×2102111112011² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2102111112611) 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, 1051055556005 + 1051055556006.

It is an arithmetic number, because the mean of its divisors is an integer number (1051055556006).

Almost surely, 2^{2102111112011} is an apocalyptic number.

2102111112011 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102111112011 is an equidigital number, since it uses as much as digits as its factorization.

2102111112011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2102111112011 its reverse (1102111112012), we get a palindrome (3204222224023).

Subtracting from 2102111112011 its reverse (1102111112012), we obtain a palindrome (999999999999).

It can be divided in two parts, 2102111 and 112011, that added together give a palindrome (2214122).

The spelling of 2102111112011 in words is "two trillion, one hundred two billion, one hundred eleven million, one hundred twelve thousand, eleven".