10002221222129 has 2 divisors, whose sum is σ = 10002221222130. Its totient is φ = 10002221222128.

The previous prime is 10002221221981. The next prime is 10002221222141. The reversal of 10002221222129 is 92122212220001.

10002221222129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7760553493729 + 2241667728400 = 2785777^2 + 1497220^2 .

It is an emirp because it is prime and its reverse (92122212220001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10002221222129 - 2⁸ = 10002221221873 is a prime.

It is a super-5 number, since 5×10002221222129⁵ (a number of 66 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10002221222098 and 10002221222107.

It is not a weakly prime, because it can be changed into another prime (10002221222629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001110611064 + 5001110611065.

It is an arithmetic number, because the mean of its divisors is an integer number (5001110611065).

Almost surely, 2^{10002221222129} is an apocalyptic number.

It is an amenable number.

10002221222129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002221222129 is an equidigital number, since it uses as much as digits as its factorization.

10002221222129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 10002221222129 in words is "ten trillion, two billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty-nine".