2102114112011 has 2 divisors, whose sum is σ = 2102114112012. Its totient is φ = 2102114112010.

The previous prime is 2102114111983. The next prime is 2102114112019. The reversal of 2102114112011 is 1102114112012.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2102114112011 - 2¹⁸ = 2102113849867 is a prime.

It is not a weakly prime, because it can be changed into another prime (2102114112019) 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, 1051057056005 + 1051057056006.

It is an arithmetic number, because the mean of its divisors is an integer number (1051057056006).

Almost surely, 2^{2102114112011} is an apocalyptic number.

2102114112011 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102114112011 is an equidigital number, since it uses as much as digits as its factorization.

2102114112011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2102114112011 its reverse (1102114112012), we get a palindrome (3204228224023).

Subtracting from 2102114112011 its reverse (1102114112012), we obtain a palindrome (999999999999).

The spelling of 2102114112011 in words is "two trillion, one hundred two billion, one hundred fourteen million, one hundred twelve thousand, eleven".