10000100012041 has 2 divisors, whose sum is σ = 10000100012042. Its totient is φ = 10000100012040.

The previous prime is 10000100011999. The next prime is 10000100012047. The reversal of 10000100012041 is 14021000100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7367853355641 + 2632246656400 = 2714379^2 + 1622420^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000100012041 - 2¹⁹ = 10000099487753 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000100012047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050006020 + 5000050006021.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050006021).

Almost surely, 2^{10000100012041} is an apocalyptic number.

It is an amenable number.

10000100012041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000100012041 is an equidigital number, since it uses as much as digits as its factorization.

10000100012041 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 10000100012041 its reverse (14021000100001), we get a palindrome (24021100112042).

The spelling of 10000100012041 in words is "ten trillion, one hundred million, twelve thousand, forty-one".