202133012031121 has 2 divisors, whose sum is σ = 202133012031122. Its totient is φ = 202133012031120.

The previous prime is 202133012030921. The next prime is 202133012031187. The reversal of 202133012031121 is 121130210331202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 182225700810000 + 19907311221121 = 13499100^2 + 4461761^2 .

It is a cyclic number.

It is not a de Polignac number, because 202133012031121 - 2¹⁵ = 202133011998353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202133012031092 and 202133012031101.

It is not a weakly prime, because it can be changed into another prime (202133012031721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101066506015560 + 101066506015561.

It is an arithmetic number, because the mean of its divisors is an integer number (101066506015561).

Almost surely, 2^{202133012031121} is an apocalyptic number.

It is an amenable number.

202133012031121 is a deficient number, since it is larger than the sum of its proper divisors (1).

202133012031121 is an equidigital number, since it uses as much as digits as its factorization.

202133012031121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 202133012031121 its reverse (121130210331202), we get a palindrome (323263222362323).

The spelling of 202133012031121 in words is "two hundred two trillion, one hundred thirty-three billion, twelve million, thirty-one thousand, one hundred twenty-one".