112121112002121 has 12 divisors (see below), whose sum is σ = 161952833382340. Its totient is φ = 74747354441760.

The previous prime is 112121112002113. The next prime is 112121112002147. The reversal of 112121112002121 is 121200211121211.

It is a happy number.

112121112002121 is a `hidden beast` number, since 1 + 121 + 211 + 120 + 0 + 212 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41627271686400 + 70493840315721 = 6451920^2 + 8396061^2 .

It is not a de Polignac number, because 112121112002121 - 2³ = 112121112002113 is a prime.

It is a super-2 number, since 2×112121112002121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112121112002094 and 112121112002103.

It is not an unprimeable number, because it can be changed into a prime (112121112002161) 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, 11985195 + ... + 19180383.

Almost surely, 2^{112121112002121} is an apocalyptic number.

It is an amenable number.

112121112002121 is a deficient number, since it is larger than the sum of its proper divisors (49831721380219).

112121112002121 is a wasteful number, since it uses less digits than its factorization.

112121112002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8926616 (or 8926613 counting only the distinct ones).

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

Adding to 112121112002121 its reverse (121200211121211), we get a palindrome (233321323123332).

The spelling of 112121112002121 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred twelve million, two thousand, one hundred twenty-one".