20001100121201 has 2 divisors, whose sum is σ = 20001100121202. Its totient is φ = 20001100121200.

The previous prime is 20001100121173. The next prime is 20001100121203. The reversal of 20001100121201 is 10212100110002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19960879417600 + 40220703601 = 4467760^2 + 200551^2 .

It is a cyclic number.

It is not a de Polignac number, because 20001100121201 - 2⁶ = 20001100121137 is a prime.

Together with 20001100121203, 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 (20001100121203) 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, 10000550060600 + 10000550060601.

It is an arithmetic number, because the mean of its divisors is an integer number (10000550060601).

Almost surely, 2^{20001100121201} is an apocalyptic number.

It is an amenable number.

20001100121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

20001100121201 is an equidigital number, since it uses as much as digits as its factorization.

20001100121201 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 20001100121201 its reverse (10212100110002), we get a palindrome (30213200231203).

The spelling of 20001100121201 in words is "twenty trillion, one billion, one hundred million, one hundred twenty-one thousand, two hundred one".