110100110000011 has 8 divisors (see below), whose sum is σ = 110204838430848. Its totient is φ = 109995383376000.

The previous prime is 110100110000009. The next prime is 110100110000021. The reversal of 110100110000011 is 110000011001011.

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 110100110000011 - 2¹ = 110100110000009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110100109999949 and 110100110000003.

It is not an unprimeable number, because it can be changed into a prime (110100110000021) 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, 143149606 + ... + 143916676.

It is an arithmetic number, because the mean of its divisors is an integer number (13775604803856).

Almost surely, 2^{110100110000011} is an apocalyptic number.

110100110000011 is a deficient number, since it is larger than the sum of its proper divisors (104728430837).

110100110000011 is a wasteful number, since it uses less digits than its factorization.

110100110000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903413.

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

Adding to 110100110000011 its reverse (110000011001011), we get a palindrome (220100121001022).

The spelling of 110100110000011 in words is "one hundred ten trillion, one hundred billion, one hundred ten million, eleven", and thus it is an aban number.