200002121111101 has 2 divisors, whose sum is σ = 200002121111102. Its totient is φ = 200002121111100.

The previous prime is 200002121111099. The next prime is 200002121111131. The reversal of 200002121111101 is 101111121200002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 138751932048601 + 61250189062500 = 11779301^2 + 7826250^2 .

It is a cyclic number.

It is not a de Polignac number, because 200002121111101 - 2¹ = 200002121111099 is a prime.

Together with 200002121111099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200002121111131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100001060555550 + 100001060555551.

It is an arithmetic number, because the mean of its divisors is an integer number (100001060555551).

Almost surely, 2^{200002121111101} is an apocalyptic number.

It is an amenable number.

200002121111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

200002121111101 is an equidigital number, since it uses as much as digits as its factorization.

200002121111101 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 13.

Adding to 200002121111101 its reverse (101111121200002), we get a palindrome (301113242311103).

The spelling of 200002121111101 in words is "two hundred trillion, two billion, one hundred twenty-one million, one hundred eleven thousand, one hundred one".