201121013100041 has 2 divisors, whose sum is σ = 201121013100042. Its totient is φ = 201121013100040.

The previous prime is 201121013100001. The next prime is 201121013100047. The reversal of 201121013100041 is 140001310121102.

201121013100041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183472578492025 + 17648434608016 = 13545205^2 + 4201004^2 .

It is a cyclic number.

It is not a de Polignac number, because 201121013100041 - 2³⁸ = 200846135193097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 201121013099992 and 201121013100019.

It is not a weakly prime, because it can be changed into another prime (201121013100047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100560506550020 + 100560506550021.

It is an arithmetic number, because the mean of its divisors is an integer number (100560506550021).

Almost surely, 2^{201121013100041} is an apocalyptic number.

It is an amenable number.

201121013100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

201121013100041 is an equidigital number, since it uses as much as digits as its factorization.

201121013100041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 201121013100041 its reverse (140001310121102), we get a palindrome (341122323221143).

The spelling of 201121013100041 in words is "two hundred one trillion, one hundred twenty-one billion, thirteen million, one hundred thousand, forty-one".