100011011000003 has 32 divisors (see below), whose sum is σ = 108845925154560. Its totient is φ = 91549240473600.

The previous prime is 100011010999993. The next prime is 100011011000023. The reversal of 100011011000003 is 300000110110001.

It is a cyclic number.

It is not a de Polignac number, because 100011011000003 - 2¹⁰ = 100011010998979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100011011000023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24850325 + ... + 28593017.

It is an arithmetic number, because the mean of its divisors is an integer number (3401435161080).

Almost surely, 2^{100011011000003} is an apocalyptic number.

100011011000003 is a deficient number, since it is larger than the sum of its proper divisors (8834914154557).

100011011000003 is a wasteful number, since it uses less digits than its factorization.

100011011000003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3743087.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 100011011000003 its reverse (300000110110001), we get a palindrome (400011121110004).

The spelling of 100011011000003 in words is "one hundred trillion, eleven billion, eleven million, three", and thus it is an aban number.