10202212129 has 2 divisors, whose sum is σ = 10202212130. Its totient is φ = 10202212128.

The previous prime is 10202212087. The next prime is 10202212183. The reversal of 10202212129 is 92121220201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7699711504 + 2502500625 = 87748^2 + 50025^2 .

It is an emirp because it is prime and its reverse (92121220201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10202212129 - 2⁷ = 10202212001 is a prime.

It is a super-2 number, since 2×10202212129² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10202212429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101106064 + 5101106065.

It is an arithmetic number, because the mean of its divisors is an integer number (5101106065).

Almost surely, 2^10202212129 is an apocalyptic number.

It is an amenable number.

10202212129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202212129 is an equidigital number, since it uses as much as digits as its factorization.

10202212129 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 10202212129 in words is "ten billion, two hundred two million, two hundred twelve thousand, one hundred twenty-nine".