21642133660201 has 2 divisors, whose sum is σ = 21642133660202. Its totient is φ = 21642133660200.

The previous prime is 21642133660193. The next prime is 21642133660349. The reversal of 21642133660201 is 10206633124612.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13230387769600 + 8411745890601 = 3637360^2 + 2900301^2 .

It is a cyclic number.

It is not a de Polignac number, because 21642133660201 - 2³ = 21642133660193 is a prime.

It is not a weakly prime, because it can be changed into another prime (21642133660601) 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, 10821066830100 + 10821066830101.

It is an arithmetic number, because the mean of its divisors is an integer number (10821066830101).

Almost surely, 2^{21642133660201} is an apocalyptic number.

It is an amenable number.

21642133660201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21642133660201 is an equidigital number, since it uses as much as digits as its factorization.

21642133660201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 37.

Adding to 21642133660201 its reverse (10206633124612), we get a palindrome (31848766784813).

The spelling of 21642133660201 in words is "twenty-one trillion, six hundred forty-two billion, one hundred thirty-three million, six hundred sixty thousand, two hundred one".