10002112202221 has 2 divisors, whose sum is σ = 10002112202222. Its totient is φ = 10002112202220.

The previous prime is 10002112202197. The next prime is 10002112202239. The reversal of 10002112202221 is 12220221120001.

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., 9406421526121 + 595690676100 = 3066989^2 + 771810^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002112202221 - 2⁵ = 10002112202189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002112202195 and 10002112202204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002112202281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001056101110 + 5001056101111.

It is an arithmetic number, because the mean of its divisors is an integer number (5001056101111).

Almost surely, 2^{10002112202221} is an apocalyptic number.

It is an amenable number.

10002112202221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002112202221 is an equidigital number, since it uses as much as digits as its factorization.

10002112202221 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 10002112202221 its reverse (12220221120001), we get a palindrome (22222333322222).

The spelling of 10002112202221 in words is "ten trillion, two billion, one hundred twelve million, two hundred two thousand, two hundred twenty-one".