20110200112001 has 2 divisors, whose sum is σ = 20110200112002. Its totient is φ = 20110200112000.

The previous prime is 20110200111997. The next prime is 20110200112003. The reversal of 20110200112001 is 10021100201102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18051247752976 + 2058952359025 = 4248676^2 + 1434905^2 .

It is a cyclic number.

It is not a de Polignac number, because 20110200112001 - 2² = 20110200111997 is a prime.

Together with 20110200112003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (20110200112003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10055100056000 + 10055100056001.

It is an arithmetic number, because the mean of its divisors is an integer number (10055100056001).

Almost surely, 2^{20110200112001} is an apocalyptic number.

It is an amenable number.

20110200112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20110200112001 is an equidigital number, since it uses as much as digits as its factorization.

20110200112001 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 20110200112001 its reverse (10021100201102), we get a palindrome (30131300313103).

The spelling of 20110200112001 in words is "twenty trillion, one hundred ten billion, two hundred million, one hundred twelve thousand, one".