101101111111 has 64 divisors (see below), whose sum is σ = 144247412736. Its totient is φ = 68195635200.

The previous prime is 101101111031. The next prime is 101101111151. The reversal of 101101111111 is 111111101101.

It is a happy number.

It is not a de Polignac number, because 101101111111 - 2¹¹ = 101101109063 is a prime.

101101111111 is a modest number, since divided by 111111 gives 101101 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101111151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4771206 + ... + 4792348.

It is an arithmetic number, because the mean of its divisors is an integer number (2253865824).

Almost surely, 2^101101111111 is an apocalyptic number.

101101111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101101111111 is a deficient number, since it is larger than the sum of its proper divisors (43146301625).

101101111111 is a wasteful number, since it uses less digits than its factorization.

101101111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21472.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 101101111111 its reverse (111111101101), we get a palindrome (212212212212).

It can be divided in two parts, 101101 and 111111, that multiplied together give a palindrome (11233433211).

The spelling of 101101111111 in words is "one hundred one billion, one hundred one million, one hundred eleven thousand, one hundred eleven".