112002121202121 has 48 divisors (see below), whose sum is σ = 171693044896464. Its totient is φ = 70113681211392.

The previous prime is 112002121202119. The next prime is 112002121202131. The reversal of 112002121202121 is 121202121200211.

112002121202121 is a `hidden beast` number, since 1 + 120 + 0 + 212 + 120 + 212 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14070038510025 + 97932082692096 = 3751005^2 + 9896064^2 .

It is not a de Polignac number, because 112002121202121 - 2¹ = 112002121202119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112002121202094 and 112002121202103.

It is not an unprimeable number, because it can be changed into a prime (112002121202131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124866385 + ... + 125760161.

It is an arithmetic number, because the mean of its divisors is an integer number (3576938435343).

Almost surely, 2^{112002121202121} is an apocalyptic number.

It is an amenable number.

112002121202121 is a deficient number, since it is larger than the sum of its proper divisors (59690923694343).

112002121202121 is a wasteful number, since it uses less digits than its factorization.

112002121202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895690 (or 895687 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112002121202121 its reverse (121202121200211), we get a palindrome (233204242402332).

The spelling of 112002121202121 in words is "one hundred twelve trillion, two billion, one hundred twenty-one million, two hundred two thousand, one hundred twenty-one".