2012121100201 has 2 divisors, whose sum is σ = 2012121100202. Its totient is φ = 2012121100200.

The previous prime is 2012121100159. The next prime is 2012121100243. The reversal of 2012121100201 is 1020011212102.

It is a balanced prime because it is at equal distance from previous prime (2012121100159) and next prime (2012121100243).

It can be written as a sum of positive squares in only one way, i.e., 1153097982976 + 859023117225 = 1073824^2 + 926835^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012121100201 - 2²⁹ = 2011584229289 is a prime.

It is not a weakly prime, because it can be changed into another prime (2012121100261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006060550100 + 1006060550101.

It is an arithmetic number, because the mean of its divisors is an integer number (1006060550101).

Almost surely, 2^{2012121100201} is an apocalyptic number.

It is an amenable number.

2012121100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012121100201 is an equidigital number, since it uses as much as digits as its factorization.

2012121100201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2012121100201 its reverse (1020011212102), we get a palindrome (3032132312303).

The spelling of 2012121100201 in words is "two trillion, twelve billion, one hundred twenty-one million, one hundred thousand, two hundred one".