10011100112009 has 4 divisors (see below), whose sum is σ = 10011107781840. Its totient is φ = 10011092442180.

The previous prime is 10011100111993. The next prime is 10011100112029. The reversal of 10011100112009 is 90021100111001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 10011100112009 - 2⁴ = 10011100111993 is a prime.

It is a super-2 number, since 2×10011100112009² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10011100112029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1332899 + ... + 4668920.

It is an arithmetic number, because the mean of its divisors is an integer number (2502776945460).

Almost surely, 2^{10011100112009} is an apocalyptic number.

It is an amenable number.

10011100112009 is a deficient number, since it is larger than the sum of its proper divisors (7669831).

10011100112009 is an equidigital number, since it uses as much as digits as its factorization.

10011100112009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7669830.

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 10011100112009 in words is "ten trillion, eleven billion, one hundred million, one hundred twelve thousand, nine".