41202121021001 has 2 divisors, whose sum is σ = 41202121021002. Its totient is φ = 41202121021000.

The previous prime is 41202121020997. The next prime is 41202121021021. The reversal of 41202121021001 is 10012012120214.

41202121021001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36990103638601 + 4212017382400 = 6081949^2 + 2052320^2 .

It is a cyclic number.

It is not a de Polignac number, because 41202121021001 - 2² = 41202121020997 is a prime.

It is a super-2 number, since 2×41202121021001² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (41202121021021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20601060510500 + 20601060510501.

It is an arithmetic number, because the mean of its divisors is an integer number (20601060510501).

Almost surely, 2^{41202121021001} is an apocalyptic number.

It is an amenable number.

41202121021001 is a deficient number, since it is larger than the sum of its proper divisors (1).

41202121021001 is an equidigital number, since it uses as much as digits as its factorization.

41202121021001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 41202121021001 its reverse (10012012120214), we get a palindrome (51214133141215).

The spelling of 41202121021001 in words is "forty-one trillion, two hundred two billion, one hundred twenty-one million, twenty-one thousand, one".