200002100101 has 2 divisors, whose sum is σ = 200002100102. Its totient is φ = 200002100100.

The previous prime is 200002100059. The next prime is 200002100107. The reversal of 200002100101 is 101001200002.

200002100101 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., 198137155876 + 1864944225 = 445126^2 + 43185^2 .

It is a cyclic number.

It is not a de Polignac number, because 200002100101 - 2⁹ = 200002099589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200002100107) 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, 100001050050 + 100001050051.

It is an arithmetic number, because the mean of its divisors is an integer number (100001050051).

Almost surely, 2^200002100101 is an apocalyptic number.

It is an amenable number.

200002100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

200002100101 is an equidigital number, since it uses as much as digits as its factorization.

200002100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 200002100101 its reverse (101001200002), we get a palindrome (301003300103).

Subtracting from 200002100101 its reverse (101001200002), we obtain a palindrome (99000900099).

The spelling of 200002100101 in words is "two hundred billion, two million, one hundred thousand, one hundred one".