10120400029 has 2 divisors, whose sum is σ = 10120400030. Its totient is φ = 10120400028.

The previous prime is 10120399997. The next prime is 10120400047. The reversal of 10120400029 is 92000402101.

10120400029 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., 9643632804 + 476767225 = 98202^2 + 21835^2 .

It is an emirp because it is prime and its reverse (92000402101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10120400029 - 2⁵ = 10120399997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10120399979 and 10120400015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10120400429) 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, 5060200014 + 5060200015.

It is an arithmetic number, because the mean of its divisors is an integer number (5060200015).

Almost surely, 2^10120400029 is an apocalyptic number.

It is an amenable number.

10120400029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120400029 is an equidigital number, since it uses as much as digits as its factorization.

10120400029 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 19.

The spelling of 10120400029 in words is "ten billion, one hundred twenty million, four hundred thousand, twenty-nine".