20110200210101 has 2 divisors, whose sum is σ = 20110200210102. Its totient is φ = 20110200210100.

The previous prime is 20110200210097. The next prime is 20110200210103. The reversal of 20110200210101 is 10101200201102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16840435764100 + 3269764446001 = 4103710^2 + 1808249^2 .

It is a cyclic number.

It is not a de Polignac number, because 20110200210101 - 2² = 20110200210097 is a prime.

It is a Sophie Germain prime.

Together with 20110200210103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20110200210103) 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, 10055100105050 + 10055100105051.

It is an arithmetic number, because the mean of its divisors is an integer number (10055100105051).

Almost surely, 2^{20110200210101} is an apocalyptic number.

It is an amenable number.

20110200210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20110200210101 is an equidigital number, since it uses as much as digits as its factorization.

20110200210101 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 11.

Adding to 20110200210101 its reverse (10101200201102), we get a palindrome (30211400411203).

The spelling of 20110200210101 in words is "twenty trillion, one hundred ten billion, two hundred million, two hundred ten thousand, one hundred one".