10010210122229 has 2 divisors, whose sum is σ = 10010210122230. Its totient is φ = 10010210122228.

The previous prime is 10010210122181. The next prime is 10010210122301. The reversal of 10010210122229 is 92222101201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9504105934129 + 506104188100 = 3082873^2 + 711410^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010210122229 - 2²⁴ = 10010193345013 is a prime.

It is a super-2 number, since 2×10010210122229² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010210128229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005105061114 + 5005105061115.

It is an arithmetic number, because the mean of its divisors is an integer number (5005105061115).

Almost surely, 2^{10010210122229} is an apocalyptic number.

It is an amenable number.

10010210122229 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010210122229 is an equidigital number, since it uses as much as digits as its factorization.

10010210122229 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 23.

The spelling of 10010210122229 in words is "ten trillion, ten billion, two hundred ten million, one hundred twenty-two thousand, two hundred twenty-nine".