11100211221137 has 2 divisors, whose sum is σ = 11100211221138. Its totient is φ = 11100211221136.

The previous prime is 11100211221067. The next prime is 11100211221149. The reversal of 11100211221137 is 73112211200111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10641172450561 + 459038770576 = 3262081^2 + 677524^2 .

It is an emirp because it is prime and its reverse (73112211200111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11100211221137 - 2¹⁶ = 11100211155601 is a prime.

It is not a weakly prime, because it can be changed into another prime (11100211821137) 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, 5550105610568 + 5550105610569.

It is an arithmetic number, because the mean of its divisors is an integer number (5550105610569).

Almost surely, 2^{11100211221137} is an apocalyptic number.

It is an amenable number.

11100211221137 is a deficient number, since it is larger than the sum of its proper divisors (1).

11100211221137 is an equidigital number, since it uses as much as digits as its factorization.

11100211221137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 23.

Adding to 11100211221137 its reverse (73112211200111), we get a palindrome (84212422421248).

The spelling of 11100211221137 in words is "eleven trillion, one hundred billion, two hundred eleven million, two hundred twenty-one thousand, one hundred thirty-seven".