21000201220001 has 2 divisors, whose sum is σ = 21000201220002. Its totient is φ = 21000201220000.

The previous prime is 21000201219967. The next prime is 21000201220013. The reversal of 21000201220001 is 10002210200012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20964273912976 + 35927307025 = 4578676^2 + 189545^2 .

It is a cyclic number.

It is not a de Polignac number, because 21000201220001 - 2²² = 21000197025697 is a prime.

It is not a weakly prime, because it can be changed into another prime (21000201225001) 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, 10500100610000 + 10500100610001.

It is an arithmetic number, because the mean of its divisors is an integer number (10500100610001).

Almost surely, 2^{21000201220001} is an apocalyptic number.

It is an amenable number.

21000201220001 is a deficient number, since it is larger than the sum of its proper divisors (1).

21000201220001 is an equidigital number, since it uses as much as digits as its factorization.

21000201220001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21000201220001 its reverse (10002210200012), we get a palindrome (31002411420013).

The spelling of 21000201220001 in words is "twenty-one trillion, two hundred one million, two hundred twenty thousand, one".