111331121101 has 2 divisors, whose sum is σ = 111331121102. Its totient is φ = 111331121100.

The previous prime is 111331121059. The next prime is 111331121117. The reversal of 111331121101 is 101121133111.

It is an a-pointer prime, because the next prime (111331121117) can be obtained adding 111331121101 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111215580100 + 115541001 = 333490^2 + 10749^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111331121101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111331121171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55665560550 + 55665560551.

It is an arithmetic number, because the mean of its divisors is an integer number (55665560551).

Almost surely, 2^111331121101 is an apocalyptic number.

It is an amenable number.

111331121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111331121101 is an equidigital number, since it uses as much as digits as its factorization.

111331121101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 111331121101 its reverse (101121133111), we get a palindrome (212452254212).

The spelling of 111331121101 in words is "one hundred eleven billion, three hundred thirty-one million, one hundred twenty-one thousand, one hundred one".