2112110111011 has 2 divisors, whose sum is σ = 2112110111012. Its totient is φ = 2112110111010.

The previous prime is 2112110111003. The next prime is 2112110111017. The reversal of 2112110111011 is 1101110112112.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2112110111011 - 2³ = 2112110111003 is a prime.

It is a super-2 number, since 2×2112110111011² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112110110982 and 2112110111000.

It is not a weakly prime, because it can be changed into another prime (2112110111017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056055055505 + 1056055055506.

It is an arithmetic number, because the mean of its divisors is an integer number (1056055055506).

Almost surely, 2^{2112110111011} is an apocalyptic number.

2112110111011 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112110111011 is an equidigital number, since it uses as much as digits as its factorization.

2112110111011 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 13.

Adding to 2112110111011 its reverse (1101110112112), we get a palindrome (3213220223123).

It can be divided in two parts, 2112 and 110111011, that multiplied together give a palindrome (232554455232).

The spelling of 2112110111011 in words is "two trillion, one hundred twelve billion, one hundred ten million, one hundred eleven thousand, eleven".