2001121012201 has 2 divisors, whose sum is σ = 2001121012202. Its totient is φ = 2001121012200.

The previous prime is 2001121012183. The next prime is 2001121012207. The reversal of 2001121012201 is 1022101211002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1327368973225 + 673752038976 = 1152115^2 + 820824^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001121012201 - 2⁹ = 2001121011689 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001121012207) 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, 1000560506100 + 1000560506101.

It is an arithmetic number, because the mean of its divisors is an integer number (1000560506101).

Almost surely, 2^{2001121012201} is an apocalyptic number.

It is an amenable number.

2001121012201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001121012201 is an equidigital number, since it uses as much as digits as its factorization.

2001121012201 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 2001121012201 its reverse (1022101211002), we get a palindrome (3023222223203).

The spelling of 2001121012201 in words is "two trillion, one billion, one hundred twenty-one million, twelve thousand, two hundred one".