111122121 has 16 divisors (see below), whose sum is σ = 163120320. Its totient is φ = 66726720.

The previous prime is 111122117. The next prime is 111122159. The reversal of 111122121 is 121221111.

It is not a de Polignac number, because 111122121 - 2² = 111122117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111122097 and 111122106.

It is not an unprimeable number, because it can be changed into a prime (111122101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11850 + ... + 19043.

It is an arithmetic number, because the mean of its divisors is an integer number (10195020).

Almost surely, 2^111122121 is an apocalyptic number.

111122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111122121 is a deficient number, since it is larger than the sum of its proper divisors (51998199).

111122121 is a wasteful number, since it uses less digits than its factorization.

111122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31016.

The product of its digits is 8, while the sum is 12.

The square root of 111122121 is about 10541.4477658432. The cubic root of 111122121 is about 480.7657352522.

Adding to 111122121 its reverse (121221111), we get a palindrome (232343232).

It can be divided in two parts, 1111 and 22121, that added together give a palindrome (23232).

The spelling of 111122121 in words is "one hundred eleven million, one hundred twenty-two thousand, one hundred twenty-one".