100110010011 has 32 divisors (see below), whose sum is σ = 150807453696. Its totient is φ = 58545396000.

The previous prime is 100110010003. The next prime is 100110010087. The reversal of 100110010011 is 110010011001.

It is not a de Polignac number, because 100110010011 - 2³ = 100110010003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100110010711) 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 31 ways as a sum of consecutive naturals, for example, 344425 + ... + 564666.

It is an arithmetic number, because the mean of its divisors is an integer number (4712732928).

Almost surely, 2^100110010011 is an apocalyptic number.

100110010011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100110010011 is a deficient number, since it is larger than the sum of its proper divisors (50697443685).

100110010011 is a wasteful number, since it uses less digits than its factorization.

100110010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909223.

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

Adding to 100110010011 its reverse (110010011001), we get a palindrome (210120021012).

It can be divided in two parts, 1001100 and 10011, that multiplied together give a square (10022012100 = 100110²).

The spelling of 100110010011 in words is "one hundred billion, one hundred ten million, ten thousand, eleven".