10100100029 has 2 divisors, whose sum is σ = 10100100030. Its totient is φ = 10100100028.

The previous prime is 10100100007. The next prime is 10100100041. The reversal of 10100100029 is 92000100101.

10100100029 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., 9371208025 + 728892004 = 96805^2 + 26998^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100100029 - 2⁸ = 10100099773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100099986 and 10100100022.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100100079) 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, 5050050014 + 5050050015.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050015).

Almost surely, 2^10100100029 is an apocalyptic number.

It is an amenable number.

10100100029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100100029 is an equidigital number, since it uses as much as digits as its factorization.

10100100029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 10100100029 in words is "ten billion, one hundred million, one hundred thousand, twenty-nine".