11121216101 has 2 divisors, whose sum is σ = 11121216102. Its totient is φ = 11121216100.

The previous prime is 11121216089. The next prime is 11121216103. The reversal of 11121216101 is 10161212111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7476196225 + 3645019876 = 86465^2 + 60374^2 .

It is a cyclic number.

It is not a de Polignac number, because 11121216101 - 2³⁰ = 10047474277 is a prime.

Together with 11121216103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11121216101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11121216103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5560608050 + 5560608051.

It is an arithmetic number, because the mean of its divisors is an integer number (5560608051).

Almost surely, 2^11121216101 is an apocalyptic number.

It is an amenable number.

11121216101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11121216101 is an equidigital number, since it uses as much as digits as its factorization.

11121216101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 11121216101 its reverse (10161212111), we get a palindrome (21282428212).

The spelling of 11121216101 in words is "eleven billion, one hundred twenty-one million, two hundred sixteen thousand, one hundred one".