2101201221001 has 2 divisors, whose sum is σ = 2101201221002. Its totient is φ = 2101201221000.

The previous prime is 2101201220971. The next prime is 2101201221011. The reversal of 2101201221001 is 1001221021012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2033330550601 + 67870670400 = 1425949^2 + 260520^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101201221001 - 2⁷ = 2101201220873 is a prime.

It is a super-2 number, since 2×2101201221001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2101201221011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050600610500 + 1050600610501.

It is an arithmetic number, because the mean of its divisors is an integer number (1050600610501).

Almost surely, 2^{2101201221001} is an apocalyptic number.

It is an amenable number.

2101201221001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101201221001 is an equidigital number, since it uses as much as digits as its factorization.

2101201221001 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 2101201221001 its reverse (1001221021012), we get a palindrome (3102422242013).

The spelling of 2101201221001 in words is "two trillion, one hundred one billion, two hundred one million, two hundred twenty-one thousand, one".