1121111021137 has 2 divisors, whose sum is σ = 1121111021138. Its totient is φ = 1121111021136.

The previous prime is 1121111021087. The next prime is 1121111021207. The reversal of 1121111021137 is 7311201111211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 667163873601 + 453947147536 = 816801^2 + 673756^2 .

It is a cyclic number.

It is not a de Polignac number, because 1121111021137 - 2¹⁵ = 1121110988369 is a prime.

It is not a weakly prime, because it can be changed into another prime (1121111022137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 560555510568 + 560555510569.

It is an arithmetic number, because the mean of its divisors is an integer number (560555510569).

Almost surely, 2^{1121111021137} is an apocalyptic number.

It is an amenable number.

1121111021137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121111021137 is an equidigital number, since it uses as much as digits as its factorization.

1121111021137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 22.

Adding to 1121111021137 its reverse (7311201111211), we get a palindrome (8432312132348).

The spelling of 1121111021137 in words is "one trillion, one hundred twenty-one billion, one hundred eleven million, twenty-one thousand, one hundred thirty-seven".