200201121829 has 2 divisors, whose sum is σ = 200201121830. Its totient is φ = 200201121828.

The previous prime is 200201121767. The next prime is 200201121851. The reversal of 200201121829 is 928121102002.

200201121829 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., 189133661025 + 11067460804 = 434895^2 + 105202^2 .

It is a cyclic number.

It is not a de Polignac number, because 200201121829 - 2¹⁷ = 200200990757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200201121797 and 200201121806.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200201121859) 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 as a sum of consecutive naturals, namely, 100100560914 + 100100560915.

It is an arithmetic number, because the mean of its divisors is an integer number (100100560915).

Almost surely, 2^200201121829 is an apocalyptic number.

It is an amenable number.

200201121829 is a deficient number, since it is larger than the sum of its proper divisors (1).

200201121829 is an equidigital number, since it uses as much as digits as its factorization.

200201121829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 200201121829 in words is "two hundred billion, two hundred one million, one hundred twenty-one thousand, eight hundred twenty-nine".