110100100000011 has 32 divisors (see below), whose sum is σ = 161028084940800. Its totient is φ = 66360116743200.

The previous prime is 110100099999947. The next prime is 110100100000019. The reversal of 110100100000011 is 110000001001011.

It is not a de Polignac number, because 110100100000011 - 2⁶ = 110100099999947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110100100000019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3005190 + ... + 15140388.

It is an arithmetic number, because the mean of its divisors is an integer number (5032127654400).

Almost surely, 2^{110100100000011} is an apocalyptic number.

110100100000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110100100000011 is a deficient number, since it is larger than the sum of its proper divisors (50927984940789).

110100100000011 is a wasteful number, since it uses less digits than its factorization.

110100100000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12136727.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 110100100000011 its reverse (110000001001011), we get a palindrome (220100101001022).

The spelling of 110100100000011 in words is "one hundred ten trillion, one hundred billion, one hundred million, eleven", and thus it is an aban number.