1121011022129 has 2 divisors, whose sum is σ = 1121011022130. Its totient is φ = 1121011022128.

The previous prime is 1121011022081. The next prime is 1121011022167. The reversal of 1121011022129 is 9212201101211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1119501544225 + 1509477904 = 1058065^2 + 38852^2 .

It is a cyclic number.

It is not a de Polignac number, because 1121011022129 - 2⁴⁰ = 21499394353 is a prime.

It is not a weakly prime, because it can be changed into another prime (1121011022629) 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, 560505511064 + 560505511065.

It is an arithmetic number, because the mean of its divisors is an integer number (560505511065).

Almost surely, 2^{1121011022129} is an apocalyptic number.

It is an amenable number.

1121011022129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121011022129 is an equidigital number, since it uses as much as digits as its factorization.

1121011022129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 1121011022129 in words is "one trillion, one hundred twenty-one billion, eleven million, twenty-two thousand, one hundred twenty-nine".