10002120222121 has 2 divisors, whose sum is σ = 10002120222122. Its totient is φ = 10002120222120.

The previous prime is 10002120222097. The next prime is 10002120222163. The reversal of 10002120222121 is 12122202120001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9395573648400 + 606546573721 = 3065220^2 + 778811^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002120222121 - 2⁷ = 10002120221993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002120222095 and 10002120222104.

It is not a weakly prime, because it can be changed into another prime (10002120229121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001060111060 + 5001060111061.

It is an arithmetic number, because the mean of its divisors is an integer number (5001060111061).

Almost surely, 2^{10002120222121} is an apocalyptic number.

It is an amenable number.

10002120222121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002120222121 is an equidigital number, since it uses as much as digits as its factorization.

10002120222121 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 10002120222121 its reverse (12122202120001), we get a palindrome (22124322342122).

The spelling of 10002120222121 in words is "ten trillion, two billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twenty-one".