2002102210001 has 2 divisors, whose sum is σ = 2002102210002. Its totient is φ = 2002102210000.

The previous prime is 2002102209977. The next prime is 2002102210033. The reversal of 2002102210001 is 1000122012002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1594322902225 + 407779307776 = 1262665^2 + 638576^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002102210001 - 2¹⁴ = 2002102193617 is a prime.

It is not a weakly prime, because it can be changed into another prime (2008102210001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001051105000 + 1001051105001.

It is an arithmetic number, because the mean of its divisors is an integer number (1001051105001).

Almost surely, 2^{2002102210001} is an apocalyptic number.

It is an amenable number.

2002102210001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002102210001 is an equidigital number, since it uses as much as digits as its factorization.

2002102210001 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 11.

Adding to 2002102210001 its reverse (1000122012002), we get a palindrome (3002224222003).

The spelling of 2002102210001 in words is "two trillion, two billion, one hundred two million, two hundred ten thousand, one".