111112210112121 has 48 divisors (see below), whose sum is σ = 165051252971280. Its totient is φ = 71977462824960.

The previous prime is 111112210112087. The next prime is 111112210112177. The reversal of 111112210112121 is 121211012211111.

111112210112121 is a `hidden beast` number, since 111 + 112 + 210 + 112 + 121 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4058754183225 + 107053455928896 = 2014635^2 + 10346664^2 .

It is not a de Polignac number, because 111112210112121 - 2¹³ = 111112210103929 is a prime.

It is a super-2 number, since 2×111112210112121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111112210112094 and 111112210112103.

It is not an unprimeable number, because it can be changed into a prime (111112210112221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 950000181 + ... + 950117133.

It is an arithmetic number, because the mean of its divisors is an integer number (3438567770235).

Almost surely, 2^{111112210112121} is an apocalyptic number.

It is an amenable number.

111112210112121 is a deficient number, since it is larger than the sum of its proper divisors (53939042859159).

111112210112121 is a wasteful number, since it uses less digits than its factorization.

111112210112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120746 (or 120743 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 111112210112121 its reverse (121211012211111), we get a palindrome (232323222323232).

The spelling of 111112210112121 in words is "one hundred eleven trillion, one hundred twelve billion, two hundred ten million, one hundred twelve thousand, one hundred twenty-one".