200133212213121 has 64 divisors (see below), whose sum is σ = 306911379456000. Its totient is φ = 114873509678400.

The previous prime is 200133212213047. The next prime is 200133212213161. The reversal of 200133212213121 is 121312212331002.

It is not a de Polignac number, because 200133212213121 - 2²⁵ = 200133178658689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200133212213091 and 200133212213100.

It is not an unprimeable number, because it can be changed into a prime (200133212213161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 622921080 + ... + 623242278.

It is an arithmetic number, because the mean of its divisors is an integer number (4795490304000).

Almost surely, 2^{200133212213121} is an apocalyptic number.

It is an amenable number.

200133212213121 is a deficient number, since it is larger than the sum of its proper divisors (106778167242879).

200133212213121 is a wasteful number, since it uses less digits than its factorization.

200133212213121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334250.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 200133212213121 its reverse (121312212331002), we get a palindrome (321445424544123).

The spelling of 200133212213121 in words is "two hundred trillion, one hundred thirty-three billion, two hundred twelve million, two hundred thirteen thousand, one hundred twenty-one".