10011011221 has 16 divisors (see below), whose sum is σ = 10661414400. Its totient is φ = 9367561728.

The previous prime is 10011011203. The next prime is 10011011237. The reversal of 10011011221 is 12211011001.

10011011221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10011011221 - 2¹⁷ = 10010880149 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011011198 and 10011011207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011011201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4278870 + ... + 4281208.

It is an arithmetic number, because the mean of its divisors is an integer number (666338400).

Almost surely, 2^10011011221 is an apocalyptic number.

It is an amenable number.

10011011221 is a deficient number, since it is larger than the sum of its proper divisors (650403179).

10011011221 is a wasteful number, since it uses less digits than its factorization.

10011011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708.

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

Adding to 10011011221 its reverse (12211011001), we get a palindrome (22222022222).

The spelling of 10011011221 in words is "ten billion, eleven million, eleven thousand, two hundred twenty-one".