2001202221001 has 2 divisors, whose sum is σ = 2001202221002. Its totient is φ = 2001202221000.

The previous prime is 2001202220971. The next prime is 2001202221013. The reversal of 2001202221001 is 1001222021002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1905783011001 + 95419210000 = 1380501^2 + 308900^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001202221001 - 2²⁷ = 2001068003273 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001202221071) 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, 1000601110500 + 1000601110501.

It is an arithmetic number, because the mean of its divisors is an integer number (1000601110501).

Almost surely, 2^{2001202221001} is an apocalyptic number.

It is an amenable number.

2001202221001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001202221001 is an equidigital number, since it uses as much as digits as its factorization.

2001202221001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2001202221001 its reverse (1001222021002), we get a palindrome (3002424242003).

The spelling of 2001202221001 in words is "two trillion, one billion, two hundred two million, two hundred twenty-one thousand, one".