11202111020117 has 2 divisors, whose sum is σ = 11202111020118. Its totient is φ = 11202111020116.

The previous prime is 11202111020047. The next prime is 11202111020119. The reversal of 11202111020117 is 71102011120211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7412991827761 + 3789119192356 = 2722681^2 + 1946566^2 .

It is a cyclic number.

It is not a de Polignac number, because 11202111020117 - 2¹⁸ = 11202110757973 is a prime.

Together with 11202111020119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11202111020119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5601055510058 + 5601055510059.

It is an arithmetic number, because the mean of its divisors is an integer number (5601055510059).

Almost surely, 2^{11202111020117} is an apocalyptic number.

It is an amenable number.

11202111020117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11202111020117 is an equidigital number, since it uses as much as digits as its factorization.

11202111020117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 11202111020117 its reverse (71102011120211), we get a palindrome (82304122140328).

The spelling of 11202111020117 in words is "eleven trillion, two hundred two billion, one hundred eleven million, twenty thousand, one hundred seventeen".