10010011100041 has 2 divisors, whose sum is σ = 10010011100042. Its totient is φ = 10010011100040.

The previous prime is 10010011099973. The next prime is 10010011100107. The reversal of 10010011100041 is 14000111001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9762625230400 + 247385869641 = 3124520^2 + 497379^2 .

It is an emirp because it is prime and its reverse (14000111001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10010011100041 - 2¹³ = 10010011091849 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010011100641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005005550020 + 5005005550021.

It is an arithmetic number, because the mean of its divisors is an integer number (5005005550021).

Almost surely, 2^{10010011100041} is an apocalyptic number.

It is an amenable number.

10010011100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010011100041 is an equidigital number, since it uses as much as digits as its factorization.

10010011100041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10010011100041 its reverse (14000111001001), we get a palindrome (24010122101042).

The spelling of 10010011100041 in words is "ten trillion, ten billion, eleven million, one hundred thousand, forty-one".