100001100011 has 16 divisors (see below), whose sum is σ = 103822709760. Its totient is φ = 96252287040.

The previous prime is 100001099993. The next prime is 100001100053. The reversal of 100001100011 is 110001100001.

It is not a de Polignac number, because 100001100011 - 2¹⁴ = 100001083627 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001099968 and 100001100004.

It is not an unprimeable number, because it can be changed into a prime (100001100071) 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 15 ways as a sum of consecutive naturals, for example, 1741586 + ... + 1798088.

It is an arithmetic number, because the mean of its divisors is an integer number (6488919360).

Almost surely, 2^100001100011 is an apocalyptic number.

100001100011 is a deficient number, since it is larger than the sum of its proper divisors (3821609749).

100001100011 is an equidigital number, since it uses as much as digits as its factorization.

100001100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57146.

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

Adding to 100001100011 its reverse (110001100001), we get a palindrome (210002200012).

The spelling of 100001100011 in words is "one hundred billion, one million, one hundred thousand, eleven".