112112211011011 has 2 divisors, whose sum is σ = 112112211011012. Its totient is φ = 112112211011010.

The previous prime is 112112211010927. The next prime is 112112211011077. The reversal of 112112211011011 is 110110112211211.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 112112211011011 - 2¹⁹ = 112112210486723 is a prime.

It is a super-2 number, since 2×112112211011011² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112112211011081) 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, 56056105505505 + 56056105505506.

It is an arithmetic number, because the mean of its divisors is an integer number (56056105505506).

Almost surely, 2^{112112211011011} is an apocalyptic number.

112112211011011 is a deficient number, since it is larger than the sum of its proper divisors (1).

112112211011011 is an equidigital number, since it uses as much as digits as its factorization.

112112211011011 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 16.

Adding to 112112211011011 its reverse (110110112211211), we get a palindrome (222222323222222).

The spelling of 112112211011011 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred eleven million, eleven thousand, eleven".