2002101332117 has 2 divisors, whose sum is σ = 2002101332118. Its totient is φ = 2002101332116.

The previous prime is 2002101332053. The next prime is 2002101332177. The reversal of 2002101332117 is 7112331012002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2002072182916 + 29149201 = 1414946^2 + 5399^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002101332117 - 2⁶ = 2002101332053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002101332092 and 2002101332101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002101332177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001050666058 + 1001050666059.

It is an arithmetic number, because the mean of its divisors is an integer number (1001050666059).

Almost surely, 2^{2002101332117} is an apocalyptic number.

It is an amenable number.

2002101332117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002101332117 is an equidigital number, since it uses as much as digits as its factorization.

2002101332117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 2002101332117 its reverse (7112331012002), we get a palindrome (9114432344119).

The spelling of 2002101332117 in words is "two trillion, two billion, one hundred one million, three hundred thirty-two thousand, one hundred seventeen".