11121144101 has 2 divisors, whose sum is σ = 11121144102. Its totient is φ = 11121144100.

The previous prime is 11121144091. The next prime is 11121144103. The reversal of 11121144101 is 10144112111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8458480900 + 2662663201 = 91970^2 + 51601^2 .

It is a cyclic number.

It is not a de Polignac number, because 11121144101 - 2¹⁸ = 11120881957 is a prime.

It is a super-2 number, since 2×11121144101² (a number of 21 digits) contains 22 as substring.

Together with 11121144103, 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 11121144101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11121144103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5560572050 + 5560572051.

It is an arithmetic number, because the mean of its divisors is an integer number (5560572051).

Almost surely, 2^11121144101 is an apocalyptic number.

It is an amenable number.

11121144101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11121144101 is an equidigital number, since it uses as much as digits as its factorization.

11121144101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11121144101 its reverse (10144112111), we get a palindrome (21265256212).

The spelling of 11121144101 in words is "eleven billion, one hundred twenty-one million, one hundred forty-four thousand, one hundred one".