1000002122081 has 2 divisors, whose sum is σ = 1000002122082. Its totient is φ = 1000002122080.

The previous prime is 1000002121991. The next prime is 1000002122083. The reversal of 1000002122081 is 1802212000001.

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., 965001699025 + 35000423056 = 982345^2 + 187084^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000002122081 is a prime.

It is a super-2 number, since 2×1000002122081² (a number of 25 digits) contains 22 as substring.

Together with 1000002122083, 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 (1000002122083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500001061040 + 500001061041.

It is an arithmetic number, because the mean of its divisors is an integer number (500001061041).

Almost surely, 2^{1000002122081} is an apocalyptic number.

It is an amenable number.

1000002122081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000002122081 is an equidigital number, since it uses as much as digits as its factorization.

1000002122081 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 17.

Adding to 1000002122081 its reverse (1802212000001), we get a palindrome (2802214122082).

The spelling of 1000002122081 in words is "one trillion, two million, one hundred twenty-two thousand, eighty-one".