1121101120081 has 2 divisors, whose sum is σ = 1121101120082. Its totient is φ = 1121101120080.

The previous prime is 1121101120067. The next prime is 1121101120141. The reversal of 1121101120081 is 1800211011211.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 714929436225 + 406171683856 = 845535^2 + 637316^2 .

It is a cyclic number.

It is not a de Polignac number, because 1121101120081 - 2¹⁵ = 1121101087313 is a prime.

It is a super-2 number, since 2×1121101120081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1121101120481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 560550560040 + 560550560041.

It is an arithmetic number, because the mean of its divisors is an integer number (560550560041).

Almost surely, 2^{1121101120081} is an apocalyptic number.

It is an amenable number.

1121101120081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121101120081 is an equidigital number, since it uses as much as digits as its factorization.

1121101120081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 1121101120081 its reverse (1800211011211), we get a palindrome (2921312131292).

The spelling of 1121101120081 in words is "one trillion, one hundred twenty-one billion, one hundred one million, one hundred twenty thousand, eighty-one".