110100001011 has 256 divisors, whose sum is σ = 214159196160. Its totient is φ = 48474961920.

The previous prime is 110100001009. The next prime is 110100001019.

110100001011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110100001011 - 2¹ = 110100001009 is a prime.

110100001011 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (110100001019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 151443930 + ... + 151444656.

It is an arithmetic number, because the mean of its divisors is an integer number (836559360).

Almost surely, 2^110100001011 is an apocalyptic number.

110100001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110100001011 is a deficient number, since it is larger than the sum of its proper divisors (104059195149).

110100001011 is a wasteful number, since it uses less digits than its factorization.

110100001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874.

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

It can be divided in two parts, 11010000 and 1011, that added together give a palindrome (11011011).

The spelling of 110100001011 in words is "one hundred ten billion, one hundred million, one thousand, eleven".