200133122103121 has 2 divisors, whose sum is σ = 200133122103122. Its totient is φ = 200133122103120.

The previous prime is 200133122103043. The next prime is 200133122103139. The reversal of 200133122103121 is 121301221331002.

200133122103121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102387867078721 + 97745255024400 = 10118689^2 + 9886620^2 .

It is a cyclic number.

It is not a de Polignac number, because 200133122103121 - 2⁹ = 200133122102609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200133122103092 and 200133122103101.

It is not a weakly prime, because it can be changed into another prime (200133122103721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100066561051560 + 100066561051561.

It is an arithmetic number, because the mean of its divisors is an integer number (100066561051561).

Almost surely, 2^{200133122103121} is an apocalyptic number.

It is an amenable number.

200133122103121 is a deficient number, since it is larger than the sum of its proper divisors (1).

200133122103121 is an equidigital number, since it uses as much as digits as its factorization.

200133122103121 is an evil number, because the sum of its binary digits is even.

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

Adding to 200133122103121 its reverse (121301221331002), we get a palindrome (321434343434123).

The spelling of 200133122103121 in words is "two hundred trillion, one hundred thirty-three billion, one hundred twenty-two million, one hundred three thousand, one hundred twenty-one".