1111221111121 has 32 divisors (see below), whose sum is σ = 1332978094080. Its totient is φ = 914418892800.

The previous prime is 1111221111097. The next prime is 1111221111151. The reversal of 1111221111121 is 1211111221111.

It is a cyclic number.

It is not a de Polignac number, because 1111221111121 - 2¹⁵ = 1111221078353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1111221111095 and 1111221111104.

It is not an unprimeable number, because it can be changed into a prime (1111221111151) 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 31 ways as a sum of consecutive naturals, for example, 995056 + ... + 1792366.

It is an arithmetic number, because the mean of its divisors is an integer number (41655565440).

Almost surely, 2^{1111221111121} is an apocalyptic number.

1111221111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1111221111121 is a deficient number, since it is larger than the sum of its proper divisors (221756982959).

1111221111121 is a wasteful number, since it uses less digits than its factorization.

1111221111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797625.

The product of its digits is 8, while the sum is 16.

Adding to 1111221111121 its reverse (1211111221111), we get a palindrome (2322332332232).

It can be divided in two parts, 1111221111 and 121, that multiplied together give a palindrome (134457754431).

The spelling of 1111221111121 in words is "one trillion, one hundred eleven billion, two hundred twenty-one million, one hundred eleven thousand, one hundred twenty-one".