10102012002221 has 2 divisors, whose sum is σ = 10102012002222. Its totient is φ = 10102012002220.

The previous prime is 10102012002209. The next prime is 10102012002223. The reversal of 10102012002221 is 12220021020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5645209681225 + 4456802320996 = 2375965^2 + 2111114^2 .

It is an emirp because it is prime and its reverse (12220021020101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102012002221 is a prime.

Together with 10102012002223, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102012002196 and 10102012002205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102012002223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051006001110 + 5051006001111.

It is an arithmetic number, because the mean of its divisors is an integer number (5051006001111).

Almost surely, 2^{10102012002221} is an apocalyptic number.

It is an amenable number.

10102012002221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102012002221 is an equidigital number, since it uses as much as digits as its factorization.

10102012002221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10102012002221 its reverse (12220021020101), we get a palindrome (22322033022322).

The spelling of 10102012002221 in words is "ten trillion, one hundred two billion, twelve million, two thousand, two hundred twenty-one".