10000022002121 has 2 divisors, whose sum is σ = 10000022002122. Its totient is φ = 10000022002120.

The previous prime is 10000022002099. The next prime is 10000022002123. The reversal of 10000022002121 is 12120022000001.

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., 6590829042121 + 3409192960000 = 2567261^2 + 1846400^2 .

It is an emirp because it is prime and its reverse (12120022000001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10000022002121 - 2⁶ = 10000022002057 is a prime.

Together with 10000022002123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10000022002123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000011001060 + 5000011001061.

It is an arithmetic number, because the mean of its divisors is an integer number (5000011001061).

Almost surely, 2^{10000022002121} is an apocalyptic number.

It is an amenable number.

10000022002121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000022002121 is an equidigital number, since it uses as much as digits as its factorization.

10000022002121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10000022002121 its reverse (12120022000001), we get a palindrome (22120044002122).

The spelling of 10000022002121 in words is "ten trillion, twenty-two million, two thousand, one hundred twenty-one".