11100221121121 has 32 divisors (see below), whose sum is σ = 12538974617856. Its totient is φ = 9741062016000.

The previous prime is 11100221121107. The next prime is 11100221121163. The reversal of 11100221121121 is 12112112200111.

It is a cyclic number.

It is not a de Polignac number, because 11100221121121 - 2²⁷ = 11100086903393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11100221121095 and 11100221121104.

It is not an unprimeable number, because it can be changed into a prime (11100221121221) 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 31 ways as a sum of consecutive naturals, for example, 7100211 + ... + 8521351.

It is an arithmetic number, because the mean of its divisors is an integer number (391842956808).

Almost surely, 2^{11100221121121} is an apocalyptic number.

11100221121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11100221121121 is a deficient number, since it is larger than the sum of its proper divisors (1438753496735).

11100221121121 is a wasteful number, since it uses less digits than its factorization.

11100221121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421433.

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

Adding to 11100221121121 its reverse (12112112200111), we get a palindrome (23212333321232).

The spelling of 11100221121121 in words is "eleven trillion, one hundred billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty-one".