10000110002011 has 16 divisors (see below), whose sum is σ = 10059775689600. Its totient is φ = 9940635957888.

The previous prime is 10000110001961. The next prime is 10000110002017. The reversal of 10000110002011 is 11020001100001.

It is a cyclic number.

It is not a de Polignac number, because 10000110002011 - 2⁷ = 10000110001883 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000110001985 and 10000110002003.

It is not an unprimeable number, because it can be changed into a prime (10000110002017) 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, 222731881 + ... + 222776773.

It is an arithmetic number, because the mean of its divisors is an integer number (628735980600).

Almost surely, 2^{10000110002011} is an apocalyptic number.

10000110002011 is a deficient number, since it is larger than the sum of its proper divisors (59665687589).

10000110002011 is a wasteful number, since it uses less digits than its factorization.

10000110002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46998.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10000110002011 its reverse (11020001100001), we get a palindrome (21020111102012).

The spelling of 10000110002011 in words is "ten trillion, one hundred ten million, two thousand, eleven".