1121101112161 has 2 divisors, whose sum is σ = 1121101112162. Its totient is φ = 1121101112160.

The previous prime is 1121101112119. The next prime is 1121101112171. The reversal of 1121101112161 is 1612111011211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 744803520400 + 376297591761 = 863020^2 + 613431^2 .

It is a cyclic number.

It is not a de Polignac number, because 1121101112161 - 2⁹ = 1121101111649 is a prime.

It is a super-3 number, since 3×1121101112161³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1121101112171) 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, 560550556080 + 560550556081.

It is an arithmetic number, because the mean of its divisors is an integer number (560550556081).

Almost surely, 2^{1121101112161} is an apocalyptic number.

It is an amenable number.

1121101112161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121101112161 is an equidigital number, since it uses as much as digits as its factorization.

1121101112161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 19.

Adding to 1121101112161 its reverse (1612111011211), we get a palindrome (2733212123372).

The spelling of 1121101112161 in words is "one trillion, one hundred twenty-one billion, one hundred one million, one hundred twelve thousand, one hundred sixty-one".