100001112002011 has 12 divisors (see below), whose sum is σ = 111781604403000. Its totient is φ = 89369252630240.

The previous prime is 100001112001993. The next prime is 100001112002017. The reversal of 100001112002011 is 110200211100001.

It is not a de Polignac number, because 100001112002011 - 2²⁵ = 100001078447579 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001112002017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7003852786 + ... + 7003867063.

It is an arithmetic number, because the mean of its divisors is an integer number (9315133700250).

Almost surely, 2^{100001112002011} is an apocalyptic number.

100001112002011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100001112002011 is a deficient number, since it is larger than the sum of its proper divisors (11780492400989).

100001112002011 is a wasteful number, since it uses less digits than its factorization.

100001112002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14007719930 (or 14007719919 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100001112002011 its reverse (110200211100001), we get a palindrome (210201323102012).

The spelling of 100001112002011 in words is "one hundred trillion, one billion, one hundred twelve million, two thousand, eleven".