200002002110101 has 2 divisors, whose sum is σ = 200002002110102. Its totient is φ = 200002002110100.

The previous prime is 200002002110033. The next prime is 200002002110153. The reversal of 200002002110101 is 101011200200002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122495090062500 + 77506912047601 = 11067750^2 + 8803801^2 .

It is a cyclic number.

It is not a de Polignac number, because 200002002110101 - 2²⁷ = 200001867892373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200002002710101) 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, 100001001055050 + 100001001055051.

It is an arithmetic number, because the mean of its divisors is an integer number (100001001055051).

Almost surely, 2^{200002002110101} is an apocalyptic number.

It is an amenable number.

200002002110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

200002002110101 is an equidigital number, since it uses as much as digits as its factorization.

200002002110101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 200002002110101 its reverse (101011200200002), we get a palindrome (301013202310103).

The spelling of 200002002110101 in words is "two hundred trillion, two billion, two million, one hundred ten thousand, one hundred one".