100002122202121 has 2 divisors, whose sum is σ = 100002122202122. Its totient is φ = 100002122202120.

The previous prime is 100002122202107. The next prime is 100002122202133. The reversal of 100002122202121 is 121202221200001.

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., 84085892266896 + 15916229935225 = 9169836^2 + 3989515^2 .

It is a cyclic number.

It is not a de Polignac number, because 100002122202121 - 2⁵ = 100002122202089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100002122202095 and 100002122202104.

It is not a weakly prime, because it can be changed into another prime (100002122202221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001061101060 + 50001061101061.

It is an arithmetic number, because the mean of its divisors is an integer number (50001061101061).

Almost surely, 2^{100002122202121} is an apocalyptic number.

It is an amenable number.

100002122202121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002122202121 is an equidigital number, since it uses as much as digits as its factorization.

100002122202121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100002122202121 its reverse (121202221200001), we get a palindrome (221204343402122).

The spelling of 100002122202121 in words is "one hundred trillion, two billion, one hundred twenty-two million, two hundred two thousand, one hundred twenty-one".