2102102122201 has 2 divisors, whose sum is σ = 2102102122202. Its totient is φ = 2102102122200.

The previous prime is 2102102122171. The next prime is 2102102122223. The reversal of 2102102122201 is 1022212012012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1651800730176 + 450301392025 = 1285224^2 + 671045^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102102122201 - 2²⁷ = 2101967904473 is a prime.

It is not a weakly prime, because it can be changed into another prime (2102102122261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051051061100 + 1051051061101.

It is an arithmetic number, because the mean of its divisors is an integer number (1051051061101).

Almost surely, 2^{2102102122201} is an apocalyptic number.

It is an amenable number.

2102102122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102102122201 is an equidigital number, since it uses as much as digits as its factorization.

2102102122201 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 16.

Adding to 2102102122201 its reverse (1022212012012), we get a palindrome (3124314134213).

The spelling of 2102102122201 in words is "two trillion, one hundred two billion, one hundred two million, one hundred twenty-two thousand, two hundred one".