2012101001041 has 2 divisors, whose sum is σ = 2012101001042. Its totient is φ = 2012101001040.

The previous prime is 2012101000997. The next prime is 2012101001111. The reversal of 2012101001041 is 1401001012102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1579043560000 + 433057441041 = 1256600^2 + 658071^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012101001041 - 2¹¹ = 2012100998993 is a prime.

It is a super-3 number, since 3×2012101001041³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2012101004041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006050500520 + 1006050500521.

It is an arithmetic number, because the mean of its divisors is an integer number (1006050500521).

Almost surely, 2^{2012101001041} is an apocalyptic number.

It is an amenable number.

2012101001041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012101001041 is an equidigital number, since it uses as much as digits as its factorization.

2012101001041 is an evil number, because the sum of its binary digits is even.

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

Adding to 2012101001041 its reverse (1401001012102), we get a palindrome (3413102013143).

The spelling of 2012101001041 in words is "two trillion, twelve billion, one hundred one million, one thousand, forty-one".