111000110101101 has 24 divisors (see below), whose sum is σ = 172667970731256. Its totient is φ = 68307311923200.

The previous prime is 111000110101091. The next prime is 111000110101129. The reversal of 111000110101101 is 101101011000111.

111000110101101 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15444275625 + 110984665825476 = 124275^2 + 10534926^2 .

It is not a de Polignac number, because 111000110101101 - 2²¹ = 111000108003949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111000110101151) 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, 15259401 + ... + 21327201.

It is an arithmetic number, because the mean of its divisors is an integer number (7194498780469).

Almost surely, 2^{111000110101101} is an apocalyptic number.

It is an amenable number.

111000110101101 is a deficient number, since it is larger than the sum of its proper divisors (61667860630155).

111000110101101 is a wasteful number, since it uses less digits than its factorization.

111000110101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6224173 (or 6224170 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 111000110101101 its reverse (101101011000111), we get a palindrome (212101121101212).

The spelling of 111000110101101 in words is "one hundred eleven trillion, one hundred ten million, one hundred one thousand, one hundred one".