21101101322201 has 8 divisors (see below), whose sum is σ = 21318867481800. Its totient is φ = 20883339836928.

The previous prime is 21101101322159. The next prime is 21101101322221. The reversal of 21101101322201 is 10222310110112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1142545072201 + 19958556250000 = 1068899^2 + 4467500^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21101101322201 - 2³⁴ = 21083921453017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21101101322201.

It is not an unprimeable number, because it can be changed into a prime (21101101322221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8300375 + ... + 10540323.

It is an arithmetic number, because the mean of its divisors is an integer number (2664858435225).

Almost surely, 2^{21101101322201} is an apocalyptic number.

It is an amenable number.

21101101322201 is a deficient number, since it is larger than the sum of its proper divisors (217766159599).

21101101322201 is an equidigital number, since it uses as much as digits as its factorization.

21101101322201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337163.

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

Adding to 21101101322201 its reverse (10222310110112), we get a palindrome (31323411432313).

The spelling of 21101101322201 in words is "twenty-one trillion, one hundred one billion, one hundred one million, three hundred twenty-two thousand, two hundred one".