10114642522129 has 2 divisors, whose sum is σ = 10114642522130. Its totient is φ = 10114642522128.

The previous prime is 10114642522097. The next prime is 10114642522133. The reversal of 10114642522129 is 92122524641101.

10114642522129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9792818905104 + 321823617025 = 3129348^2 + 567295^2 .

It is a cyclic number.

It is not a de Polignac number, because 10114642522129 - 2⁵ = 10114642522097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10114642522091 and 10114642522100.

It is not a weakly prime, because it can be changed into another prime (10114642522199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5057321261064 + 5057321261065.

It is an arithmetic number, because the mean of its divisors is an integer number (5057321261065).

Almost surely, 2^{10114642522129} is an apocalyptic number.

It is an amenable number.

10114642522129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10114642522129 is an equidigital number, since it uses as much as digits as its factorization.

10114642522129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 10114642522129 in words is "ten trillion, one hundred fourteen billion, six hundred forty-two million, five hundred twenty-two thousand, one hundred twenty-nine".