10002012212221 has 2 divisors, whose sum is σ = 10002012212222. Its totient is φ = 10002012212220.

The previous prime is 10002012212219. The next prime is 10002012212407. The reversal of 10002012212221 is 12221221020001.

It is a happy number.

10002012212221 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., 9658041692121 + 343970520100 = 3107739^2 + 586490^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002012212221 - 2¹ = 10002012212219 is a prime.

Together with 10002012212219, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10002012212195 and 10002012212204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002012212821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001006106110 + 5001006106111.

It is an arithmetic number, because the mean of its divisors is an integer number (5001006106111).

Almost surely, 2^{10002012212221} is an apocalyptic number.

It is an amenable number.

10002012212221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002012212221 is an equidigital number, since it uses as much as digits as its factorization.

10002012212221 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 10002012212221 its reverse (12221221020001), we get a palindrome (22223233232222).

The spelling of 10002012212221 in words is "ten trillion, two billion, twelve million, two hundred twelve thousand, two hundred twenty-one".