110100010000111 has 8 divisors (see below), whose sum is σ = 110109180620880. Its totient is φ = 110090839748928.

The previous prime is 110100010000081. The next prime is 110100010000147. The reversal of 110100010000111 is 111000010001011.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110100010000111 - 2¹¹ = 110100009998063 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110100010000094 and 110100010000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100010007111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 989438385 + ... + 989549653.

It is an arithmetic number, because the mean of its divisors is an integer number (13763647577610).

Almost surely, 2^{110100010000111} is an apocalyptic number.

110100010000111 is a deficient number, since it is larger than the sum of its proper divisors (9170620769).

110100010000111 is a wasteful number, since it uses less digits than its factorization.

110100010000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184793.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 110100010000111 its reverse (111000010001011), we get a palindrome (221100020001122).

The spelling of 110100010000111 in words is "one hundred ten trillion, one hundred billion, ten million, one hundred eleven", and thus it is an aban number.