111000010101101 has 24 divisors (see below), whose sum is σ = 123581909817912. Its totient is φ = 99613527552000.

The previous prime is 111000010101073. The next prime is 111000010101103. The reversal of 111000010101101 is 101101010000111.

It can be written as a sum of positive squares in 4 ways, for example, as 59552011830025 + 51447998271076 = 7716995^2 + 7172726^2 .

It is a de Polignac number, because none of the positive numbers 2^k-111000010101101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111000010101103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9357380 + ... + 17594333.

It is an arithmetic number, because the mean of its divisors is an integer number (5149246242413).

Almost surely, 2^{111000010101101} is an apocalyptic number.

111000010101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111000010101101 is a deficient number, since it is larger than the sum of its proper divisors (12581899716811).

111000010101101 is a wasteful number, since it uses less digits than its factorization.

111000010101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26952173 (or 26952162 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 111000010101101 its reverse (101101010000111), we get a palindrome (212101020101212).

It can be divided in two parts, 111000010 and 101101, that added together give a palindrome (111101111).

The spelling of 111000010101101 in words is "one hundred eleven trillion, ten million, one hundred one thousand, one hundred one".