2102000002177 has 2 divisors, whose sum is σ = 2102000002178. Its totient is φ = 2102000002176.

The previous prime is 2102000002171. The next prime is 2102000002211. The reversal of 2102000002177 is 7712000002012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2083377578881 + 18622423296 = 1443391^2 + 136464^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102000002177 - 2³⁹ = 1552244188289 is a prime.

It is not a weakly prime, because it can be changed into another prime (2102000002171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051000001088 + 1051000001089.

It is an arithmetic number, because the mean of its divisors is an integer number (1051000001089).

Almost surely, 2^{2102000002177} is an apocalyptic number.

It is an amenable number.

2102000002177 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102000002177 is an equidigital number, since it uses as much as digits as its factorization.

2102000002177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 392, while the sum is 22.

Adding to 2102000002177 its reverse (7712000002012), we get a palindrome (9814000004189).

The spelling of 2102000002177 in words is "two trillion, one hundred two billion, two thousand, one hundred seventy-seven".