11121022211137 has 2 divisors, whose sum is σ = 11121022211138. Its totient is φ = 11121022211136.

The previous prime is 11121022211111. The next prime is 11121022211141. The reversal of 11121022211137 is 73111222012111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9130846149441 + 1990176061696 = 3021729^2 + 1410736^2 .

It is a cyclic number.

It is not a de Polignac number, because 11121022211137 - 2¹⁵ = 11121022178369 is a prime.

It is not a weakly prime, because it can be changed into another prime (11121022211197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5560511105568 + 5560511105569.

It is an arithmetic number, because the mean of its divisors is an integer number (5560511105569).

Almost surely, 2^{11121022211137} is an apocalyptic number.

It is an amenable number.

11121022211137 is a deficient number, since it is larger than the sum of its proper divisors (1).

11121022211137 is an equidigital number, since it uses as much as digits as its factorization.

11121022211137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 25.

Adding to 11121022211137 its reverse (73111222012111), we get a palindrome (84232244223248).

The spelling of 11121022211137 in words is "eleven trillion, one hundred twenty-one billion, twenty-two million, two hundred eleven thousand, one hundred thirty-seven".