112211210120121 has 36 divisors (see below), whose sum is σ = 189635224404132. Its totient is φ = 63750051618624.

The previous prime is 112211210120063. The next prime is 112211210120173. The reversal of 112211210120121 is 121021012112211.

It is a happy number.

112211210120121 is a `hidden beast` number, since 1 + 1 + 2 + 211 + 210 + 120 + 121 = 666.

112211210120121 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 87150533348025 + 25060676772096 = 9335445^2 + 5006064^2 .

It is not a de Polignac number, because 112211210120121 - 2⁷ = 112211210119993 is a prime.

It is a super-3 number, since 3×112211210120121³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112211210120094 and 112211210120103.

It is not an unprimeable number, because it can be changed into a prime (112211210120621) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 735320206 + ... + 735472791.

It is an arithmetic number, because the mean of its divisors is an integer number (5267645122337).

Almost surely, 2^{112211210120121} is an apocalyptic number.

It is an amenable number.

112211210120121 is a deficient number, since it is larger than the sum of its proper divisors (77424014284011).

112211210120121 is a wasteful number, since it uses less digits than its factorization.

112211210120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470793190 (or 1470793180 counting only the distinct ones).

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

Adding to 112211210120121 its reverse (121021012112211), we get a palindrome (233232222232332).

The spelling of 112211210120121 in words is "one hundred twelve trillion, two hundred eleven billion, two hundred ten million, one hundred twenty thousand, one hundred twenty-one".