11121111101 has 2 divisors, whose sum is σ = 11121111102. Its totient is φ = 11121111100.

The previous prime is 11121111097. The next prime is 11121111107. The reversal of 11121111101 is 10111112111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10327843876 + 793267225 = 101626^2 + 28165^2 .

It is a cyclic number.

It is not a de Polignac number, because 11121111101 - 2² = 11121111097 is a prime.

It is a super-2 number, since 2×11121111101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11121111107) 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, 5560555550 + 5560555551.

It is an arithmetic number, because the mean of its divisors is an integer number (5560555551).

Almost surely, 2^11121111101 is an apocalyptic number.

It is an amenable number.

11121111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11121111101 is an equidigital number, since it uses as much as digits as its factorization.

11121111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 11121111101 its reverse (10111112111), we get a palindrome (21232223212).

The spelling of 11121111101 in words is "eleven billion, one hundred twenty-one million, one hundred eleven thousand, one hundred one".