2010112001041 has 2 divisors, whose sum is σ = 2010112001042. Its totient is φ = 2010112001040.

The previous prime is 2010112000979. The next prime is 2010112001081. The reversal of 2010112001041 is 1401002110102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1250530029441 + 759581971600 = 1118271^2 + 871540^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010112001041 - 2⁷ = 2010112000913 is a prime.

It is not a weakly prime, because it can be changed into another prime (2010112001081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005056000520 + 1005056000521.

It is an arithmetic number, because the mean of its divisors is an integer number (1005056000521).

Almost surely, 2^{2010112001041} is an apocalyptic number.

It is an amenable number.

2010112001041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010112001041 is an equidigital number, since it uses as much as digits as its factorization.

2010112001041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2010112001041 its reverse (1401002110102), we get a palindrome (3411114111143).

The spelling of 2010112001041 in words is "two trillion, ten billion, one hundred twelve million, one thousand, forty-one".