121200202202121 has 18 divisors (see below), whose sum is σ = 203649319347162. Its totient is φ = 69257258400960.

The previous prime is 121200202202111. The next prime is 121200202202137. The reversal of 121200202202121 is 121202202002121.

It is a happy number.

121200202202121 is a `hidden beast` number, since 1 + 212 + 0 + 0 + 20 + 220 + 212 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121095410800896 + 104791401225 = 11004336^2 + 323715^2 .

It is not a de Polignac number, because 121200202202121 - 2¹¹ = 121200202200073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121200202202094 and 121200202202103.

It is not an unprimeable number, because it can be changed into a prime (121200202202111) 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 17 ways as a sum of consecutive naturals, for example, 137415194800 + ... + 137415195681.

Almost surely, 2^{121200202202121} is an apocalyptic number.

It is an amenable number.

121200202202121 is a deficient number, since it is larger than the sum of its proper divisors (82449117145041).

121200202202121 is a wasteful number, since it uses less digits than its factorization.

121200202202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274830390501 (or 274830390491 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121200202202121 its reverse (121202202002121), we get a palindrome (242402404204242).

The spelling of 121200202202121 in words is "one hundred twenty-one trillion, two hundred billion, two hundred two million, two hundred two thousand, one hundred twenty-one".