1120765201121 has 2 divisors, whose sum is σ = 1120765201122. Its totient is φ = 1120765201120.

The previous prime is 1120765201093. The next prime is 1120765201163. The reversal of 1120765201121 is 1211025670211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 914136771025 + 206628430096 = 956105^2 + 454564^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1120765201121 is a prime.

It is a super-2 number, since 2×1120765201121² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1120765201321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 560382600560 + 560382600561.

It is an arithmetic number, because the mean of its divisors is an integer number (560382600561).

Almost surely, 2^{1120765201121} is an apocalyptic number.

It is an amenable number.

1120765201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1120765201121 is an equidigital number, since it uses as much as digits as its factorization.

1120765201121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 29.

The spelling of 1120765201121 in words is "one trillion, one hundred twenty billion, seven hundred sixty-five million, two hundred one thousand, one hundred twenty-one".