112102101221121 has 48 divisors (see below), whose sum is σ = 176958709087680. Its totient is φ = 67820368383360.

The previous prime is 112102101221113. The next prime is 112102101221129. The reversal of 112102101221121 is 121122101201211.

It is a happy number.

112102101221121 is a `hidden beast` number, since 1 + 1 + 210 + 210 + 1 + 221 + 1 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (112102101221113) and next prime (112102101221129).

It is not a de Polignac number, because 112102101221121 - 2³ = 112102101221113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112102101221094 and 112102101221103.

It is not an unprimeable number, because it can be changed into a prime (112102101221129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178709695 + ... + 179335883.

It is an arithmetic number, because the mean of its divisors is an integer number (3686639772660).

Almost surely, 2^{112102101221121} is an apocalyptic number.

112102101221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112102101221121 is a deficient number, since it is larger than the sum of its proper divisors (64856607866559).

112102101221121 is a wasteful number, since it uses less digits than its factorization.

112102101221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629406 (or 629403 counting only the distinct ones).

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

Adding to 112102101221121 its reverse (121122101201211), we get a palindrome (233224202422332).

The spelling of 112102101221121 in words is "one hundred twelve trillion, one hundred two billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty-one".