10102000001221 has 2 divisors, whose sum is σ = 10102000001222. Its totient is φ = 10102000001220.

The previous prime is 10102000001209. The next prime is 10102000001239. The reversal of 10102000001221 is 12210000020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9326518984225 + 775481016996 = 3053935^2 + 880614^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102000001221 - 2²⁹ = 10101463130309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102000001198 and 10102000001207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102000005221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051000000610 + 5051000000611.

It is an arithmetic number, because the mean of its divisors is an integer number (5051000000611).

Almost surely, 2^{10102000001221} is an apocalyptic number.

It is an amenable number.

10102000001221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102000001221 is an equidigital number, since it uses as much as digits as its factorization.

10102000001221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10102000001221 its reverse (12210000020101), we get a palindrome (22312000021322).

The spelling of 10102000001221 in words is "ten trillion, one hundred two billion, one thousand, two hundred twenty-one".