10221112011 has 16 divisors (see below), whose sum is σ = 15741606528. Its totient is φ = 5830224000.

The previous prime is 10221112003. The next prime is 10221112039. The reversal of 10221112011 is 11021112201.

10221112011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10221112011 - 2³ = 10221112003 is a prime.

It is a super-3 number, since 3×10221112011³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10221112061) 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, 9109165 + ... + 9110286.

It is an arithmetic number, because the mean of its divisors is an integer number (983850408).

Almost surely, 2^10221112011 is an apocalyptic number.

10221112011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10221112011 is a deficient number, since it is larger than the sum of its proper divisors (5520494517).

10221112011 is a wasteful number, since it uses less digits than its factorization.

10221112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18219482.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10221112011 its reverse (11021112201), we get a palindrome (21242224212).

The spelling of 10221112011 in words is "ten billion, two hundred twenty-one million, one hundred twelve thousand, eleven".