2002100002241 has 2 divisors, whose sum is σ = 2002100002242. Its totient is φ = 2002100002240.

The previous prime is 2002100002229. The next prime is 2002100002247. The reversal of 2002100002241 is 1422000012002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1725534451216 + 276565551025 = 1313596^2 + 525895^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002100002241 - 2¹⁴ = 2002099985857 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002100002247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001050001120 + 1001050001121.

It is an arithmetic number, because the mean of its divisors is an integer number (1001050001121).

Almost surely, 2^{2002100002241} is an apocalyptic number.

It is an amenable number.

2002100002241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002100002241 is an equidigital number, since it uses as much as digits as its factorization.

2002100002241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2002100002241 its reverse (1422000012002), we get a palindrome (3424100014243).

The spelling of 2002100002241 in words is "two trillion, two billion, one hundred million, two thousand, two hundred forty-one".