111111111101 has 2 divisors, whose sum is σ = 111111111102. Its totient is φ = 111111111100.

The previous prime is 111111111091. The next prime is 111111111103. The reversal of 111111111101 is 101111111111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57671542201 + 53439568900 = 240149^2 + 231170^2 .

It is an emirp because it is prime and its reverse (101111111111) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111111111101 is a prime.

Together with 111111111103, 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 (111111111103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55555555550 + 55555555551.

It is an arithmetic number, because the mean of its divisors is an integer number (55555555551).

Almost surely, 2^111111111101 is an apocalyptic number.

It is an amenable number.

111111111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111111111101 is an equidigital number, since it uses as much as digits as its factorization.

111111111101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 111111111101 its reverse (101111111111), we get a palindrome (212222222212).

It can be divided in two parts, 11111111110 and 1, that added together give a palindrome (11111111111).

The spelling of 111111111101 in words is "one hundred eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred one".