2010000112829 has 2 divisors, whose sum is σ = 2010000112830. Its totient is φ = 2010000112828.

The previous prime is 2010000112817. The next prime is 2010000112847. The reversal of 2010000112829 is 9282110000102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1884574348804 + 125425764025 = 1372798^2 + 354155^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010000112829 - 2⁸ = 2010000112573 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2010000112798 and 2010000112807.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2010000712829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005000056414 + 1005000056415.

It is an arithmetic number, because the mean of its divisors is an integer number (1005000056415).

Almost surely, 2^{2010000112829} is an apocalyptic number.

It is an amenable number.

2010000112829 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010000112829 is an equidigital number, since it uses as much as digits as its factorization.

2010000112829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 2010000112829 in words is "two trillion, ten billion, one hundred twelve thousand, eight hundred twenty-nine".