110010001101111 has 24 divisors (see below), whose sum is σ = 163324432388624. Its totient is φ = 71302564967040.

The previous prime is 110010001101073. The next prime is 110010001101131. The reversal of 110010001101111 is 111101100010011.

It is not a de Polignac number, because 110010001101111 - 2¹³ = 110010001092919 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110010001101093 and 110010001101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110010001101131) 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, 127517566 + ... + 128377371.

Almost surely, 2^{110010001101111} is an apocalyptic number.

110010001101111 is a deficient number, since it is larger than the sum of its proper divisors (53314431287513).

110010001101111 is a wasteful number, since it uses less digits than its factorization.

110010001101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255896271 (or 255896268 counting only the distinct ones).

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

Adding to 110010001101111 its reverse (111101100010011), we get a palindrome (221111101111122).

The spelling of 110010001101111 in words is "one hundred ten trillion, ten billion, one million, one hundred one thousand, one hundred eleven".