202120012211121 has 12 divisors (see below), whose sum is σ = 299841699797172. Its totient is φ = 131104872785376.

The previous prime is 202120012210969. The next prime is 202120012211129. The reversal of 202120012211121 is 121112210021202.

202120012211121 is a `hidden beast` number, since 202 + 120 + 0 + 1 + 221 + 1 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 119453729801121 + 82666282410000 = 10929489^2 + 9092100^2 .

It is not a de Polignac number, because 202120012211121 - 2¹³ = 202120012202929 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 202120012211094 and 202120012211103.

It is not an unprimeable number, because it can be changed into a prime (202120012211129) 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 11 ways as a sum of consecutive naturals, for example, 303483501486 + ... + 303483502151.

It is an arithmetic number, because the mean of its divisors is an integer number (24986808316431).

Almost surely, 2^{202120012211121} is an apocalyptic number.

It is an amenable number.

202120012211121 is a deficient number, since it is larger than the sum of its proper divisors (97721687586051).

202120012211121 is a wasteful number, since it uses less digits than its factorization.

202120012211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606967003680 (or 606967003677 counting only the distinct ones).

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

Adding to 202120012211121 its reverse (121112210021202), we get a palindrome (323232222232323).

The spelling of 202120012211121 in words is "two hundred two trillion, one hundred twenty billion, twelve million, two hundred eleven thousand, one hundred twenty-one".