11220121121117 has 2 divisors, whose sum is σ = 11220121121118. Its totient is φ = 11220121121116.

The previous prime is 11220121121089. The next prime is 11220121121137. The reversal of 11220121121117 is 71112112102211.

11220121121117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7990153742596 + 3229967378521 = 2826686^2 + 1797211^2 .

It is an emirp because it is prime and its reverse (71112112102211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11220121121117 - 2¹⁰ = 11220121120093 is a prime.

It is a super-2 number, since 2×11220121121117² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11220121121092 and 11220121121101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11220121121137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5610060560558 + 5610060560559.

It is an arithmetic number, because the mean of its divisors is an integer number (5610060560559).

Almost surely, 2^{11220121121117} is an apocalyptic number.

It is an amenable number.

11220121121117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11220121121117 is an equidigital number, since it uses as much as digits as its factorization.

11220121121117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 23.

Adding to 11220121121117 its reverse (71112112102211), we get a palindrome (82332233223328).

The spelling of 11220121121117 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred seventeen".