100100001000011 has 8 divisors (see below), whose sum is σ = 101741299369248. Its totient is φ = 98458712784000.

The previous prime is 100100001000001. The next prime is 100100001000089. The reversal of 100100001000011 is 110000100001001.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100001000011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100000999959 and 100100001000004.

It is not an unprimeable number, because it can be changed into a prime (100100001000001) 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 7 ways as a sum of consecutive naturals, for example, 18799826 + ... + 23529416.

It is an arithmetic number, because the mean of its divisors is an integer number (12717662421156).

Almost surely, 2^{100100001000011} is an apocalyptic number.

100100001000011 is a deficient number, since it is larger than the sum of its proper divisors (1641298369237).

100100001000011 is an equidigital number, since it uses as much as digits as its factorization.

100100001000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5076613.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100100001000011 its reverse (110000100001001), we get a palindrome (210100101001012).

The spelling of 100100001000011 in words is "one hundred trillion, one hundred billion, one million, eleven", and thus it is an aban number.