11201212112117 has 2 divisors, whose sum is σ = 11201212112118. Its totient is φ = 11201212112116.

The previous prime is 11201212112053. The next prime is 11201212112131. The reversal of 11201212112117 is 71121121210211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11165582152036 + 35629960081 = 3341494^2 + 188759^2 .

It is a cyclic number.

It is not a de Polignac number, because 11201212112117 - 2⁶ = 11201212112053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11201212112092 and 11201212112101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11201212112017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5600606056058 + 5600606056059.

It is an arithmetic number, because the mean of its divisors is an integer number (5600606056059).

Almost surely, 2^{11201212112117} is an apocalyptic number.

It is an amenable number.

11201212112117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11201212112117 is an equidigital number, since it uses as much as digits as its factorization.

11201212112117 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 11201212112117 its reverse (71121121210211), we get a palindrome (82322333322328).

The spelling of 11201212112117 in words is "eleven trillion, two hundred one billion, two hundred twelve million, one hundred twelve thousand, one hundred seventeen".