100011101000011 has 8 divisors (see below), whose sum is σ = 100111854841920. Its totient is φ = 99910378669248.

The previous prime is 100011100999993. The next prime is 100011101000053. The reversal of 100011101000011 is 110000101110001.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 100011101000011 - 2¹¹ = 100011100997963 is a prime.

It is a super-4 number, since 4×100011101000011⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100011100999958 and 100011101000003.

It is not an unprimeable number, because it can be changed into a prime (100011101000711) 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 7 ways as a sum of consecutive naturals, for example, 1524346 + ... + 14224831.

It is an arithmetic number, because the mean of its divisors is an integer number (12513981855240).

Almost surely, 2^{100011101000011} is an apocalyptic number.

100011101000011 is a deficient number, since it is larger than the sum of its proper divisors (100753841909).

100011101000011 is a wasteful number, since it uses less digits than its factorization.

100011101000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15755573.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100011101000011 its reverse (110000101110001), we get a palindrome (210011202110012).

The spelling of 100011101000011 in words is "one hundred trillion, eleven billion, one hundred one million, eleven", and thus it is an aban number.