10001100041 has 2 divisors, whose sum is σ = 10001100042. Its totient is φ = 10001100040.

The previous prime is 10001100019. The next prime is 10001100047. The reversal of 10001100041 is 14000110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6566671225 + 3434428816 = 81035^2 + 58604^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001100041 - 2¹⁴ = 10001083657 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001100047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000550020 + 5000550021.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550021).

Almost surely, 2^10001100041 is an apocalyptic number.

It is an amenable number.

10001100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001100041 is an equidigital number, since it uses as much as digits as its factorization.

10001100041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10001100041 its reverse (14000110001), we get a palindrome (24001210042).

The spelling of 10001100041 in words is "ten billion, one million, one hundred thousand, forty-one".