11101121002249 has 2 divisors, whose sum is σ = 11101121002250. Its totient is φ = 11101121002248.

The previous prime is 11101121002201. The next prime is 11101121002253. The reversal of 11101121002249 is 94220012110111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9415888635024 + 1685232367225 = 3068532^2 + 1298165^2 .

It is a cyclic number.

It is not a de Polignac number, because 11101121002249 - 2²³ = 11101112613641 is a prime.

It is not a weakly prime, because it can be changed into another prime (11101121102249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550560501124 + 5550560501125.

It is an arithmetic number, because the mean of its divisors is an integer number (5550560501125).

Almost surely, 2^{11101121002249} is an apocalyptic number.

It is an amenable number.

11101121002249 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101121002249 is an equidigital number, since it uses as much as digits as its factorization.

11101121002249 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 11101121002249 in words is "eleven trillion, one hundred one billion, one hundred twenty-one million, two thousand, two hundred forty-nine".