10011122112011 has 16 divisors (see below), whose sum is σ = 10316375308800. Its totient is φ = 9711826332000.

The previous prime is 10011122111989. The next prime is 10011122112109. The reversal of 10011122112011 is 11021122111001.

It is a cyclic number.

It is not a de Polignac number, because 10011122112011 - 2³⁰ = 10010048370187 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10011122112611) 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, 3743621 + ... + 5834118.

It is an arithmetic number, because the mean of its divisors is an integer number (644773456800).

Almost surely, 2^{10011122112011} is an apocalyptic number.

10011122112011 is a deficient number, since it is larger than the sum of its proper divisors (305253196789).

10011122112011 is a wasteful number, since it uses less digits than its factorization.

10011122112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9578050.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10011122112011 its reverse (11021122111001), we get a palindrome (21032244223012).

The spelling of 10011122112011 in words is "ten trillion, eleven billion, one hundred twenty-two million, one hundred twelve thousand, eleven".