111100012111121 has 16 divisors (see below), whose sum is σ = 121366127824128. Its totient is φ = 100861642627200.

The previous prime is 111100012111097. The next prime is 111100012111181. The reversal of 111100012111121 is 121111210001111.

It is a cyclic number.

It is not a de Polignac number, because 111100012111121 - 2⁶ = 111100012111057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111100012111096 and 111100012111105.

It is not an unprimeable number, because it can be changed into a prime (111100012111181) 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, 35297915 + ... + 38316351.

It is an arithmetic number, because the mean of its divisors is an integer number (7585382989008).

Almost surely, 2^{111100012111121} is an apocalyptic number.

111100012111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111100012111121 is a deficient number, since it is larger than the sum of its proper divisors (10266115713007).

111100012111121 is a wasteful number, since it uses less digits than its factorization.

111100012111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023032.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 111100012111121 its reverse (121111210001111), we get a palindrome (232211222112232).

The spelling of 111100012111121 in words is "one hundred eleven trillion, one hundred billion, twelve million, one hundred eleven thousand, one hundred twenty-one".