102002012000221 has 2 divisors, whose sum is σ = 102002012000222. Its totient is φ = 102002012000220.

The previous prime is 102002012000209. The next prime is 102002012000233. The reversal of 102002012000221 is 122000210200201.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (102002012000209) and next prime (102002012000233).

It can be written as a sum of positive squares in only one way, i.e., 55474402156996 + 46527609843225 = 7448114^2 + 6821115^2 .

It is a cyclic number.

It is not a de Polignac number, because 102002012000221 - 2⁴³ = 93205918978013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102002012007221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51001006000110 + 51001006000111.

It is an arithmetic number, because the mean of its divisors is an integer number (51001006000111).

Almost surely, 2^{102002012000221} is an apocalyptic number.

It is an amenable number.

102002012000221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102002012000221 is an equidigital number, since it uses as much as digits as its factorization.

102002012000221 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 13.

Adding to 102002012000221 its reverse (122000210200201), we get a palindrome (224002222200422).

The spelling of 102002012000221 in words is "one hundred two trillion, two billion, twelve million, two hundred twenty-one", and thus it is an aban number.