11122221121121 has 32 divisors (see below), whose sum is σ = 12478631510016. Its totient is φ = 9825340176000.

The previous prime is 11122221121031. The next prime is 11122221121127. The reversal of 11122221121121 is 12112112222111.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11122221121121 - 2²² = 11122216926817 is a prime.

It is a super-2 number, since 2×11122221121121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11122221121093 and 11122221121102.

It is not an unprimeable number, because it can be changed into a prime (11122221121127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 523461920 + ... + 523483166.

It is an arithmetic number, because the mean of its divisors is an integer number (389957234688).

Almost surely, 2^{11122221121121} is an apocalyptic number.

11122221121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11122221121121 is a deficient number, since it is larger than the sum of its proper divisors (1356410388895).

11122221121121 is a wasteful number, since it uses less digits than its factorization.

11122221121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25853.

The product of its digits is 64, while the sum is 20.

Adding to 11122221121121 its reverse (12112112222111), we get a palindrome (23234333343232).

The spelling of 11122221121121 in words is "eleven trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty-one".