201121001200001 has 2 divisors, whose sum is σ = 201121001200002. Its totient is φ = 201121001200000.

The previous prime is 201121001199991. The next prime is 201121001200003. The reversal of 201121001200001 is 100002100121102.

201121001200001 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., 195597678669376 + 5523322530625 = 13985624^2 + 2350175^2 .

It is a cyclic number.

It is not a de Polignac number, because 201121001200001 - 2¹⁰ = 201121001198977 is a prime.

Together with 201121001200003, 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 (201121001200003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100560500600000 + 100560500600001.

It is an arithmetic number, because the mean of its divisors is an integer number (100560500600001).

Almost surely, 2^{201121001200001} is an apocalyptic number.

It is an amenable number.

201121001200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

201121001200001 is an equidigital number, since it uses as much as digits as its factorization.

201121001200001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201121001200001 its reverse (100002100121102), we get a palindrome (301123101321103).

The spelling of 201121001200001 in words is "two hundred one trillion, one hundred twenty-one billion, one million, two hundred thousand, one".