10002112002011 has 16 divisors (see below), whose sum is σ = 10115660139936. Its totient is φ = 9889231113216.

The previous prime is 10002112002007. The next prime is 10002112002041. The reversal of 10002112002011 is 11020021120001.

It is a cyclic number.

It is not a de Polignac number, because 10002112002011 - 2² = 10002112002007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002112001983 and 10002112002001.

It is not an unprimeable number, because it can be changed into a prime (10002112002041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34101095 + ... + 34393151.

It is an arithmetic number, because the mean of its divisors is an integer number (632228758746).

Almost surely, 2^{10002112002011} is an apocalyptic number.

10002112002011 is a deficient number, since it is larger than the sum of its proper divisors (113548137925).

10002112002011 is a wasteful number, since it uses less digits than its factorization.

10002112002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293198.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10002112002011 its reverse (11020021120001), we get a palindrome (21022133122012).

The spelling of 10002112002011 in words is "ten trillion, two billion, one hundred twelve million, two thousand, eleven".