1101201121249 has 2 divisors, whose sum is σ = 1101201121250. Its totient is φ = 1101201121248.

The previous prime is 1101201121219. The next prime is 1101201121259. The reversal of 1101201121249 is 9421211021011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 904448550625 + 196752570624 = 951025^2 + 443568^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101201121249 - 2¹⁷ = 1101200990177 is a prime.

It is not a weakly prime, because it can be changed into another prime (1101201121219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550600560624 + 550600560625.

It is an arithmetic number, because the mean of its divisors is an integer number (550600560625).

Almost surely, 2^{1101201121249} is an apocalyptic number.

It is an amenable number.

1101201121249 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101201121249 is an equidigital number, since it uses as much as digits as its factorization.

1101201121249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 1101201121249 in words is "one trillion, one hundred one billion, two hundred one million, one hundred twenty-one thousand, two hundred forty-nine".