10122120122029 has 2 divisors, whose sum is σ = 10122120122030. Its totient is φ = 10122120122028.

The previous prime is 10122120122027. The next prime is 10122120122159. The reversal of 10122120122029 is 92022102122101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5158145034025 + 4963975088004 = 2271155^2 + 2227998^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122120122029 - 2¹ = 10122120122027 is a prime.

Together with 10122120122027, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10122120121994 and 10122120122012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122120122021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061060061014 + 5061060061015.

It is an arithmetic number, because the mean of its divisors is an integer number (5061060061015).

Almost surely, 2^{10122120122029} is an apocalyptic number.

It is an amenable number.

10122120122029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122120122029 is an equidigital number, since it uses as much as digits as its factorization.

10122120122029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 10122120122029 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, twenty-nine".