10100120029 has 8 divisors (see below), whose sum is σ = 10730790360. Its totient is φ = 9488275776.

The previous prime is 10100120027. The next prime is 10100120033. The reversal of 10100120029 is 92002100101.

10100120029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4745832100 + 5354287929 = 68890^2 + 73173^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100120029 - 2¹ = 10100120027 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100119994 and 10100120021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100120027) 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 in 7 ways as a sum of consecutive naturals, for example, 4705414 + ... + 4707559.

It is an arithmetic number, because the mean of its divisors is an integer number (1341348795).

Almost surely, 2^10100120029 is an apocalyptic number.

It is an amenable number.

10100120029 is a deficient number, since it is larger than the sum of its proper divisors (630670331).

10100120029 is an equidigital number, since it uses as much as digits as its factorization.

10100120029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9413039.

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 10100120029 in words is "ten billion, one hundred million, one hundred twenty thousand, twenty-nine".