11211100120117 has 2 divisors, whose sum is σ = 11211100120118. Its totient is φ = 11211100120116.

The previous prime is 11211100120093. The next prime is 11211100120133. The reversal of 11211100120117 is 71102100111211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6427842431761 + 4783257688356 = 2535319^2 + 2187066^2 .

It is a cyclic number.

It is not a de Polignac number, because 11211100120117 - 2¹⁵ = 11211100087349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11211100120094 and 11211100120103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11211100120147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5605550060058 + 5605550060059.

It is an arithmetic number, because the mean of its divisors is an integer number (5605550060059).

Almost surely, 2^{11211100120117} is an apocalyptic number.

It is an amenable number.

11211100120117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11211100120117 is an equidigital number, since it uses as much as digits as its factorization.

11211100120117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 19.

Adding to 11211100120117 its reverse (71102100111211), we get a palindrome (82313200231328).

The spelling of 11211100120117 in words is "eleven trillion, two hundred eleven billion, one hundred million, one hundred twenty thousand, one hundred seventeen".