11122111110221 has 32 divisors (see below), whose sum is σ = 12464909856000. Its totient is φ = 9861981465600.

The previous prime is 11122111110217. The next prime is 11122111110251. The reversal of 11122111110221 is 12201111122111.

It is not a de Polignac number, because 11122111110221 - 2² = 11122111110217 is a prime.

It is a super-3 number, since 3×11122111110221³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 11122111110221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122111110251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126774671 + ... + 126862371.

It is an arithmetic number, because the mean of its divisors is an integer number (389528433000).

Almost surely, 2^{11122111110221} is an apocalyptic number.

It is an amenable number.

11122111110221 is a deficient number, since it is larger than the sum of its proper divisors (1342798745779).

11122111110221 is a wasteful number, since it uses less digits than its factorization.

11122111110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89909.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 11122111110221 its reverse (12201111122111), we get a palindrome (23323222232332).

The spelling of 11122111110221 in words is "eleven trillion, one hundred twenty-two billion, one hundred eleven million, one hundred ten thousand, two hundred twenty-one".