1121012211881 has 2 divisors, whose sum is σ = 1121012211882. Its totient is φ = 1121012211880.

The previous prime is 1121012211871. The next prime is 1121012211887. The reversal of 1121012211881 is 1881122101211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 695789539600 + 425222672281 = 834140^2 + 652091^2 .

It is a cyclic number.

It is not a de Polignac number, because 1121012211881 - 2¹⁸ = 1121011949737 is a prime.

It is a super-2 number, since 2×1121012211881² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1121012211887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 560506105940 + 560506105941.

It is an arithmetic number, because the mean of its divisors is an integer number (560506105941).

Almost surely, 2^{1121012211881} is an apocalyptic number.

It is an amenable number.

1121012211881 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121012211881 is an equidigital number, since it uses as much as digits as its factorization.

1121012211881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 29.

The spelling of 1121012211881 in words is "one trillion, one hundred twenty-one billion, twelve million, two hundred eleven thousand, eight hundred eighty-one".