20102012129 has 2 divisors, whose sum is σ = 20102012130. Its totient is φ = 20102012128.

The previous prime is 20102012089. The next prime is 20102012131. The reversal of 20102012129 is 92121020102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11633779600 + 8468232529 = 107860^2 + 92023^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20102012129 is a prime.

It is a super-2 number, since 2×20102012129² (a number of 21 digits) contains 22 as substring.

Together with 20102012131, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20102012129.

It is not a weakly prime, because it can be changed into another prime (20102012149) 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, 10051006064 + 10051006065.

It is an arithmetic number, because the mean of its divisors is an integer number (10051006065).

Almost surely, 2^20102012129 is an apocalyptic number.

It is an amenable number.

20102012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

20102012129 is an equidigital number, since it uses as much as digits as its factorization.

20102012129 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 20102012129 in words is "twenty billion, one hundred two million, twelve thousand, one hundred twenty-nine".