1121011011137 has 2 divisors, whose sum is σ = 1121011011138. Its totient is φ = 1121011011136.

The previous prime is 1121011011097. The next prime is 1121011011157. The reversal of 1121011011137 is 7311101101211.

It is a happy number.

It is an a-pointer prime, because the next prime (1121011011157) can be obtained adding 1121011011137 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1088118110641 + 32892900496 = 1043129^2 + 181364^2 .

It is a cyclic number.

It is not a de Polignac number, because 1121011011137 - 2⁶ = 1121011011073 is a prime.

It is not a weakly prime, because it can be changed into another prime (1121011011157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 560505505568 + 560505505569.

It is an arithmetic number, because the mean of its divisors is an integer number (560505505569).

Almost surely, 2^{1121011011137} is an apocalyptic number.

It is an amenable number.

1121011011137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121011011137 is an equidigital number, since it uses as much as digits as its factorization.

1121011011137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 20.

Adding to 1121011011137 its reverse (7311101101211), we get a palindrome (8432112112348).

The spelling of 1121011011137 in words is "one trillion, one hundred twenty-one billion, eleven million, eleven thousand, one hundred thirty-seven".