10002112010011 has 8 divisors (see below), whose sum is σ = 10918935638784. Its totient is φ = 9086545167720.

The previous prime is 10002112009999. The next prime is 10002112010047. The reversal of 10002112010011 is 11001021120001.

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 10002112010011 - 2⁹ = 10002112009499 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10002112010011.

It is not an unprimeable number, because it can be changed into a prime (10002112011011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314179975 + ... + 314211808.

It is an arithmetic number, because the mean of its divisors is an integer number (1364866954848).

Almost surely, 2^{10002112010011} is an apocalyptic number.

10002112010011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10002112010011 is a deficient number, since it is larger than the sum of its proper divisors (916823628773).

10002112010011 is a wasteful number, since it uses less digits than its factorization.

10002112010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628393241.

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

Adding to 10002112010011 its reverse (11001021120001), we get a palindrome (21003133130012).

The spelling of 10002112010011 in words is "ten trillion, two billion, one hundred twelve million, ten thousand, eleven".