10100112229 has 2 divisors, whose sum is σ = 10100112230. Its totient is φ = 10100112228.

The previous prime is 10100112203. The next prime is 10100112287. The reversal of 10100112229 is 92221100101.

It is a happy number.

10100112229 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8665748100 + 1434364129 = 93090^2 + 37873^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100112229 - 2⁷ = 10100112101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100112299) 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, 5050056114 + 5050056115.

It is an arithmetic number, because the mean of its divisors is an integer number (5050056115).

Almost surely, 2^10100112229 is an apocalyptic number.

It is an amenable number.

10100112229 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100112229 is an equidigital number, since it uses as much as digits as its factorization.

10100112229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 10100112229 in words is "ten billion, one hundred million, one hundred twelve thousand, two hundred twenty-nine".