2010444412129 has 2 divisors, whose sum is σ = 2010444412130. Its totient is φ = 2010444412128.

The previous prime is 2010444412111. The next prime is 2010444412133. The reversal of 2010444412129 is 9212144440102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2006415590400 + 4028821729 = 1416480^2 + 63473^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010444412129 - 2⁹ = 2010444411617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2010444412094 and 2010444412103.

It is not a weakly prime, because it can be changed into another prime (2010444412199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005222206064 + 1005222206065.

It is an arithmetic number, because the mean of its divisors is an integer number (1005222206065).

Almost surely, 2^{2010444412129} is an apocalyptic number.

It is an amenable number.

2010444412129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010444412129 is an equidigital number, since it uses as much as digits as its factorization.

2010444412129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 2010444412129 in words is "two trillion, ten billion, four hundred forty-four million, four hundred twelve thousand, one hundred twenty-nine".