111001222211121 has 96 divisors (see below), whose sum is σ = 189162303108480. Its totient is φ = 61987522406400.

The previous prime is 111001222211053. The next prime is 111001222211129. The reversal of 111001222211121 is 121112222100111.

It is a happy number.

111001222211121 is a `hidden beast` number, since 1 + 110 + 0 + 1 + 222 + 211 + 121 = 666.

It is not a de Polignac number, because 111001222211121 - 2¹³ = 111001222202929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111001222211094 and 111001222211103.

It is not an unprimeable number, because it can be changed into a prime (111001222211129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 190474441 + ... + 191056313.

It is an arithmetic number, because the mean of its divisors is an integer number (1970440657380).

Almost surely, 2^{111001222211121} is an apocalyptic number.

111001222211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111001222211121 is a deficient number, since it is larger than the sum of its proper divisors (78161080897359).

111001222211121 is a wasteful number, since it uses less digits than its factorization.

111001222211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584687 (or 584684 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 111001222211121 its reverse (121112222100111), we get a palindrome (232113444311232).

It can be divided in two parts, 11100 and 1222211121, that added together give a palindrome (1222222221).

The spelling of 111001222211121 in words is "one hundred eleven trillion, one billion, two hundred twenty-two million, two hundred eleven thousand, one hundred twenty-one".