10000012100041 has 2 divisors, whose sum is σ = 10000012100042. Its totient is φ = 10000012100040.

The previous prime is 10000012100017. The next prime is 10000012100059. The reversal of 10000012100041 is 14000121000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8465795436816 + 1534216663225 = 2909604^2 + 1238635^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000012100041 - 2²³ = 10000003711433 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000012100081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000006050020 + 5000006050021.

It is an arithmetic number, because the mean of its divisors is an integer number (5000006050021).

Almost surely, 2^{10000012100041} is an apocalyptic number.

It is an amenable number.

10000012100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000012100041 is an equidigital number, since it uses as much as digits as its factorization.

10000012100041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10000012100041 its reverse (14000121000001), we get a palindrome (24000133100042).

The spelling of 10000012100041 in words is "ten trillion, twelve million, one hundred thousand, forty-one".