1000112112011 has 2 divisors, whose sum is σ = 1000112112012. Its totient is φ = 1000112112010.

The previous prime is 1000112111959. The next prime is 1000112112017. The reversal of 1000112112011 is 1102112110001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1000112112011 - 2¹⁴ = 1000112095627 is a prime.

It is a super-2 number, since 2×1000112112011² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000112111983 and 1000112112001.

It is not a weakly prime, because it can be changed into another prime (1000112112017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500056056005 + 500056056006.

It is an arithmetic number, because the mean of its divisors is an integer number (500056056006).

Almost surely, 2^{1000112112011} is an apocalyptic number.

1000112112011 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000112112011 is an equidigital number, since it uses as much as digits as its factorization.

1000112112011 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 11.

Adding to 1000112112011 its reverse (1102112110001), we get a palindrome (2102224222012).

The spelling of 1000112112011 in words is "one trillion, one hundred twelve million, one hundred twelve thousand, eleven".