10022012129 has 2 divisors, whose sum is σ = 10022012130. Its totient is φ = 10022012128.

The previous prime is 10022012113. The next prime is 10022012153. The reversal of 10022012129 is 92121022001.

It is a happy number.

10022012129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6024864400 + 3997147729 = 77620^2 + 63223^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022012129 - 2⁴ = 10022012113 is a prime.

It is a super-2 number, since 2×10022012129² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10022012129.

It is not a weakly prime, because it can be changed into another prime (10022012179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011006064 + 5011006065.

It is an arithmetic number, because the mean of its divisors is an integer number (5011006065).

Almost surely, 2^10022012129 is an apocalyptic number.

It is an amenable number.

10022012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022012129 is an equidigital number, since it uses as much as digits as its factorization.

10022012129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 10022012129 in words is "ten billion, twenty-two million, twelve thousand, one hundred twenty-nine".