10001122010011 has 16 divisors (see below), whose sum is σ = 10919684597760. Its totient is φ = 9084122363680.

The previous prime is 10001122009973. The next prime is 10001122010039. The reversal of 10001122010011 is 11001022110001.

It is a cyclic number.

It is not a de Polignac number, because 10001122010011 - 2²¹ = 10001119912859 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 10001122010011.

It is not an unprimeable number, because it can be changed into a prime (10001122010041) 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, 193617990 + ... + 193669636.

It is an arithmetic number, because the mean of its divisors is an integer number (682480287360).

Almost surely, 2^{10001122010011} is an apocalyptic number.

10001122010011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10001122010011 is a deficient number, since it is larger than the sum of its proper divisors (918562587749).

10001122010011 is a wasteful number, since it uses less digits than its factorization.

10001122010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66434.

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

Adding to 10001122010011 its reverse (11001022110001), we get a palindrome (21002144120012).

The spelling of 10001122010011 in words is "ten trillion, one billion, one hundred twenty-two million, ten thousand, eleven".