10000022120011 has 64 divisors (see below), whose sum is σ = 12689187840000. Its totient is φ = 7654887878400.

The previous prime is 10000022119957. The next prime is 10000022120063. The reversal of 10000022120011 is 11002122000001.

It is not a de Polignac number, because 10000022120011 - 2²¹ = 10000020022859 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10000022120011.

It is not an unprimeable number, because it can be changed into a prime (10000022120071) 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 63 ways as a sum of consecutive naturals, for example, 896134050 + ... + 896145208.

It is an arithmetic number, because the mean of its divisors is an integer number (198268560000).

Almost surely, 2^{10000022120011} is an apocalyptic number.

10000022120011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10000022120011 is a deficient number, since it is larger than the sum of its proper divisors (2689165719989).

10000022120011 is a wasteful number, since it uses less digits than its factorization.

10000022120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12040.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10000022120011 its reverse (11002122000001), we get a palindrome (21002144120012).

The spelling of 10000022120011 in words is "ten trillion, twenty-two million, one hundred twenty thousand, eleven".