2100000002117 has 2 divisors, whose sum is σ = 2100000002118. Its totient is φ = 2100000002116.

The previous prime is 2100000002063. The next prime is 2100000002161. The reversal of 2100000002117 is 7112000000012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2073041317636 + 26958684481 = 1439806^2 + 164191^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100000002117 - 2¹⁶ = 2099999936581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100000001117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050000001058 + 1050000001059.

It is an arithmetic number, because the mean of its divisors is an integer number (1050000001059).

Almost surely, 2^{2100000002117} is an apocalyptic number.

It is an amenable number.

2100000002117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100000002117 is an equidigital number, since it uses as much as digits as its factorization.

2100000002117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 14.

Adding to 2100000002117 its reverse (7112000000012), we get a palindrome (9212000002129).

The spelling of 2100000002117 in words is "two trillion, one hundred billion, two thousand, one hundred seventeen".