111110102101121 has 16 divisors (see below), whose sum is σ = 112047097890000. Its totient is φ = 110175730495488.

The previous prime is 111110102101091. The next prime is 111110102101189. The reversal of 111110102101121 is 121101201011111.

It can be written as a sum of positive squares in 8 ways, for example, as 10218021406096 + 100892080695025 = 3196564^2 + 10044505^2 .

It is a cyclic number.

It is not a de Polignac number, because 111110102101121 - 2⁴⁶ = 40741357923457 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111110102101096 and 111110102101105.

It is not an unprimeable number, because it can be changed into a prime (111110102181121) 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, 456038285 + ... + 456281861.

It is an arithmetic number, because the mean of its divisors is an integer number (7002943618125).

Almost surely, 2^{111110102101121} is an apocalyptic number.

It is an amenable number.

111110102101121 is a deficient number, since it is larger than the sum of its proper divisors (936995788879).

111110102101121 is a wasteful number, since it uses less digits than its factorization.

111110102101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248948.

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

Adding to 111110102101121 its reverse (121101201011111), we get a palindrome (232211303112232).

The spelling of 111110102101121 in words is "one hundred eleven trillion, one hundred ten billion, one hundred two million, one hundred one thousand, one hundred twenty-one".