112101211211121 has 96 divisors (see below), whose sum is σ = 182826428400000. Its totient is φ = 67835912855040.

The previous prime is 112101211211117. The next prime is 112101211211153. The reversal of 112101211211121 is 121112112101211.

112101211211121 is a `hidden beast` number, since 1 + 1 + 210 + 121 + 1 + 211 + 121 = 666.

It is not a de Polignac number, because 112101211211121 - 2² = 112101211211117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112101211211094 and 112101211211103.

It is not an unprimeable number, because it can be changed into a prime (112101211211191) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6556001230 + ... + 6556018328.

It is an arithmetic number, because the mean of its divisors is an integer number (1904441962500).

Almost surely, 2^{112101211211121} is an apocalyptic number.

112101211211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112101211211121 is a deficient number, since it is larger than the sum of its proper divisors (70725217188879).

112101211211121 is a wasteful number, since it uses less digits than its factorization.

112101211211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20092 (or 20075 counting only the distinct ones).

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

Adding to 112101211211121 its reverse (121112112101211), we get a palindrome (233213323312332).

The spelling of 112101211211121 in words is "one hundred twelve trillion, one hundred one billion, two hundred eleven million, two hundred eleven thousand, one hundred twenty-one".