1121155312201 has 2 divisors, whose sum is σ = 1121155312202. Its totient is φ = 1121155312200.

The previous prime is 1121155312181. The next prime is 1121155312237. The reversal of 1121155312201 is 1022135511211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1113109401600 + 8045910601 = 1055040^2 + 89699^2 .

It is a cyclic number.

It is not a de Polignac number, because 1121155312201 - 2⁷ = 1121155312073 is a prime.

It is not a weakly prime, because it can be changed into another prime (1121150312201) 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, 560577656100 + 560577656101.

It is an arithmetic number, because the mean of its divisors is an integer number (560577656101).

Almost surely, 2^{1121155312201} is an apocalyptic number.

It is an amenable number.

1121155312201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121155312201 is an equidigital number, since it uses as much as digits as its factorization.

1121155312201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 600, while the sum is 25.

The spelling of 1121155312201 in words is "one trillion, one hundred twenty-one billion, one hundred fifty-five million, three hundred twelve thousand, two hundred one".