11111112221121 has 24 divisors (see below), whose sum is σ = 18429915011040. Its totient is φ = 6379585963200.

The previous prime is 11111112221057. The next prime is 11111112221161. The reversal of 11111112221121 is 12112221111111.

It is not a de Polignac number, because 11111112221121 - 2⁶ = 11111112221057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11111112221094 and 11111112221103.

It is not an unprimeable number, because it can be changed into a prime (11111112221161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2953510140 + ... + 2953513901.

It is an arithmetic number, because the mean of its divisors is an integer number (767913125460).

Almost surely, 2^{11111112221121} is an apocalyptic number.

11111112221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11111112221121 is a deficient number, since it is larger than the sum of its proper divisors (7318802789919).

11111112221121 is a wasteful number, since it uses less digits than its factorization.

11111112221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5907024077 (or 5907024074 counting only the distinct ones).

The product of its digits is 16, while the sum is 18.

Adding to 11111112221121 its reverse (12112221111111), we get a palindrome (23223333332232).

The spelling of 11111112221121 in words is "eleven trillion, one hundred eleven billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty-one".