111012121 has 16 divisors (see below), whose sum is σ = 123475968. Its totient is φ = 98960400.

The previous prime is 111012067. The next prime is 111012149. The reversal of 111012121 is 121210111.

It is not a de Polignac number, because 111012121 - 2⁹ = 111011609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111012098 and 111012107.

It is not an unprimeable number, because it can be changed into a prime (111012221) 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, 239536 + ... + 239998.

It is an arithmetic number, because the mean of its divisors is an integer number (7717248).

Almost surely, 2^111012121 is an apocalyptic number.

111012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111012121 is a deficient number, since it is larger than the sum of its proper divisors (12463847).

111012121 is a wasteful number, since it uses less digits than its factorization.

111012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852.

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 111012121 is about 10536.2289743532. The cubic root of 111012121 is about 480.6070459049.

Adding to 111012121 its reverse (121210111), we get a palindrome (232222232).

It can be divided in two parts, 1110 and 12121, that added together give a palindrome (13231).

The spelling of 111012121 in words is "one hundred eleven million, twelve thousand, one hundred twenty-one".