111001111040101 has 2 divisors, whose sum is σ = 111001111040102. Its totient is φ = 111001111040100.

The previous prime is 111001111040089. The next prime is 111001111040159. The reversal of 111001111040101 is 101040111100111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108535036540225 + 2466074499876 = 10418015^2 + 1570374^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111001111040101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111001111041101) 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, 55500555520050 + 55500555520051.

It is an arithmetic number, because the mean of its divisors is an integer number (55500555520051).

Almost surely, 2^{111001111040101} is an apocalyptic number.

It is an amenable number.

111001111040101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111001111040101 is an equidigital number, since it uses as much as digits as its factorization.

111001111040101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 111001111040101 its reverse (101040111100111), we get a palindrome (212041222140212).

The spelling of 111001111040101 in words is "one hundred eleven trillion, one billion, one hundred eleven million, forty thousand, one hundred one".