112100112221121 has 12 divisors (see below), whose sum is σ = 166298664977172. Its totient is φ = 72713586305376.

The previous prime is 112100112221057. The next prime is 112100112221131. The reversal of 112100112221121 is 121122211001211.

It is a happy number.

112100112221121 is a `hidden beast` number, since 1 + 1 + 210 + 0 + 112 + 221 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45014773583025 + 67085338638096 = 6709305^2 + 8190564^2 .

It is not a de Polignac number, because 112100112221121 - 2⁶ = 112100112221057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112100112221094 and 112100112221103.

It is not an unprimeable number, because it can be changed into a prime (112100112221131) 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, 168318486486 + ... + 168318487151.

It is an arithmetic number, because the mean of its divisors is an integer number (13858222081431).

Almost surely, 2^{112100112221121} is an apocalyptic number.

It is an amenable number.

112100112221121 is a deficient number, since it is larger than the sum of its proper divisors (54198552756051).

112100112221121 is a wasteful number, since it uses less digits than its factorization.

112100112221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336636973680 (or 336636973677 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112100112221121 its reverse (121122211001211), we get a palindrome (233222323222332).

The spelling of 112100112221121 in words is "one hundred twelve trillion, one hundred billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty-one".