21112102122011 has 2 divisors, whose sum is σ = 21112102122012. Its totient is φ = 21112102122010.

The previous prime is 21112102121983. The next prime is 21112102122017. The reversal of 21112102122011 is 11022120121112.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 21112102122011 - 2³⁰ = 21111028380187 is a prime.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (21112102122017) 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, 10556051061005 + 10556051061006.

It is an arithmetic number, because the mean of its divisors is an integer number (10556051061006).

Almost surely, 2^{21112102122011} is an apocalyptic number.

21112102122011 is a deficient number, since it is larger than the sum of its proper divisors (1).

21112102122011 is an equidigital number, since it uses as much as digits as its factorization.

21112102122011 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 21112102122011 its reverse (11022120121112), we get a palindrome (32134222243123).

The spelling of 21112102122011 in words is "twenty-one trillion, one hundred twelve billion, one hundred two million, one hundred twenty-two thousand, eleven".