10002202202081 has 2 divisors, whose sum is σ = 10002202202082. Its totient is φ = 10002202202080.

The previous prime is 10002202202059. The next prime is 10002202202129. The reversal of 10002202202081 is 18020220220001.

It is a happy number.

10002202202081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8860242811456 + 1141959390625 = 2976616^2 + 1068625^2 .

It is an emirp because it is prime and its reverse (18020220220001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002202202081 is a prime.

It is a super-2 number, since 2×10002202202081² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10002202202051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001101101040 + 5001101101041.

It is an arithmetic number, because the mean of its divisors is an integer number (5001101101041).

Almost surely, 2^{10002202202081} is an apocalyptic number.

It is an amenable number.

10002202202081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002202202081 is an equidigital number, since it uses as much as digits as its factorization.

10002202202081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10002202202081 its reverse (18020220220001), we get a palindrome (28022422422082).

The spelling of 10002202202081 in words is "ten trillion, two billion, two hundred two million, two hundred two thousand, eighty-one".