101111001101111 has 16 divisors (see below), whose sum is σ = 105535682403840. Its totient is φ = 96688701896160.

The previous prime is 101111001101101. The next prime is 101111001101183. The reversal of 101111001101111 is 111101100111101.

It is a cyclic number.

It is not a de Polignac number, because 101111001101111 - 2⁴⁶ = 30742256923447 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111001101092 and 101111001101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111001101101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3033525716 + ... + 3033559046.

It is an arithmetic number, because the mean of its divisors is an integer number (6595980150240).

Almost surely, 2^{101111001101111} is an apocalyptic number.

101111001101111 is a deficient number, since it is larger than the sum of its proper divisors (4424681302729).

101111001101111 is a wasteful number, since it uses less digits than its factorization.

101111001101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65086.

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

Adding to 101111001101111 its reverse (111101100111101), we get a palindrome (212212101212212).

The spelling of 101111001101111 in words is "one hundred one trillion, one hundred eleven billion, one million, one hundred one thousand, one hundred eleven".