10100002122229 has 2 divisors, whose sum is σ = 10100002122230. Its totient is φ = 10100002122228.

The previous prime is 10100002122137. The next prime is 10100002122281. The reversal of 10100002122229 is 92222120000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9794333568100 + 305668554129 = 3129590^2 + 552873^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100002122229 - 2³⁷ = 9962563168757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100002122299) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050001061114 + 5050001061115.

It is an arithmetic number, because the mean of its divisors is an integer number (5050001061115).

Almost surely, 2^{10100002122229} is an apocalyptic number.

It is an amenable number.

10100002122229 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100002122229 is an equidigital number, since it uses as much as digits as its factorization.

10100002122229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 10100002122229 in words is "ten trillion, one hundred billion, two million, one hundred twenty-two thousand, two hundred twenty-nine".