110100101001011 has 12 divisors (see below), whose sum is σ = 122217328397472. Its totient is φ = 99100000890000.

The previous prime is 110100101000959. The next prime is 110100101001019.

110100101001011 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-110100101001011 is a prime.

110100101001011 is a strobogrammatic number because it is the same when read upside-down.

It is a self number, because there is not a number n which added to its sum of digits gives 110100101001011.

It is not an unprimeable number, because it can be changed into a prime (110100101001019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4504533275 + ... + 4504557716.

It is an arithmetic number, because the mean of its divisors is an integer number (10184777366456).

Almost surely, 2^{110100101001011} is an apocalyptic number.

110100101001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110100101001011 is a deficient number, since it is larger than the sum of its proper divisors (12117227396461).

110100101001011 is a wasteful number, since it uses less digits than its factorization.

110100101001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9009091114 (or 9009091103 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

It can be divided in two parts, 11010010 and 1001011, that added together give a palindrome (12011021).

The spelling of 110100101001011 in words is "one hundred ten trillion, one hundred billion, one hundred one million, one thousand, eleven".