111112011201121 has 12 divisors (see below), whose sum is σ = 129359304056532. Its totient is φ = 95160351551328.

The previous prime is 111112011201101. The next prime is 111112011201131. The reversal of 111112011201121 is 121102110211111.

It can be written as a sum of positive squares in 2 ways, for example, as 65358962391121 + 45753048810000 = 8084489^2 + 6764100^2 .

It is a de Polignac number, because none of the positive numbers 2^k-111112011201121 is a prime.

It is a super-2 number, since 2×111112011201121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111112011201095 and 111112011201104.

It is not an unprimeable number, because it can be changed into a prime (111112011201101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 934644630 + ... + 934763503.

It is an arithmetic number, because the mean of its divisors is an integer number (10779942004711).

Almost surely, 2^{111112011201121} is an apocalyptic number.

It is an amenable number.

111112011201121 is a deficient number, since it is larger than the sum of its proper divisors (18247292855411).

111112011201121 is a wasteful number, since it uses less digits than its factorization.

111112011201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869409360 (or 1869409353 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 111112011201121 its reverse (121102110211111), we get a palindrome (232214121412232).

The spelling of 111112011201121 in words is "one hundred eleven trillion, one hundred twelve billion, eleven million, two hundred one thousand, one hundred twenty-one".