1001112211027 has 2 divisors, whose sum is σ = 1001112211028. Its totient is φ = 1001112211026.

The previous prime is 1001112211007. The next prime is 1001112211039. The reversal of 1001112211027 is 7201122111001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1001112211027 - 2¹¹ = 1001112208979 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001112210995 and 1001112211013.

It is not a weakly prime, because it can be changed into another prime (1001112211007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500556105513 + 500556105514.

It is an arithmetic number, because the mean of its divisors is an integer number (500556105514).

Almost surely, 2^{1001112211027} is an apocalyptic number.

1001112211027 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001112211027 is an equidigital number, since it uses as much as digits as its factorization.

1001112211027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 1001112211027 its reverse (7201122111001), we get a palindrome (8202234322028).

The spelling of 1001112211027 in words is "one trillion, one billion, one hundred twelve million, two hundred eleven thousand, twenty-seven".