10100110011 has 8 divisors (see below), whose sum is σ = 13467879744. Its totient is φ = 6732873480.

The previous prime is 10100110001. The next prime is 10100110019. The reversal of 10100110011 is 11001100101.

10100110011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10100110011 - 2¹³ = 10100101819 is a prime.

10100110011 is a modest number, since divided by 110011 gives 101 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10100110019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86781 + ... + 166526.

It is an arithmetic number, because the mean of its divisors is an integer number (1683484968).

Almost surely, 2^10100110011 is an apocalyptic number.

10100110011 is a deficient number, since it is larger than the sum of its proper divisors (3367769733).

10100110011 is a wasteful number, since it uses less digits than its factorization.

10100110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266601.

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

Adding to 10100110011 its reverse (11001100101), we get a palindrome (21101210112).

The spelling of 10100110011 in words is "ten billion, one hundred million, one hundred ten thousand, eleven".