21212201102101 has 12 divisors (see below), whose sum is σ = 21632177253292. Its totient is φ = 20800145291904.

The previous prime is 21212201102063. The next prime is 21212201102153. The reversal of 21212201102101 is 10120110221212.

It can be written as a sum of positive squares in 2 ways, for example, as 12278086080100 + 8934115022001 = 3504010^2 + 2988999^2 .

It is not a de Polignac number, because 21212201102101 - 2²¹ = 21212199004949 is a prime.

It is a super-2 number, since 2×21212201102101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212201102161) 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 in 11 ways as a sum of consecutive naturals, for example, 6292740 + ... + 9056653.

Almost surely, 2^{21212201102101} is an apocalyptic number.

It is an amenable number.

21212201102101 is a deficient number, since it is larger than the sum of its proper divisors (419976151191).

21212201102101 is an equidigital number, since it uses as much as digits as its factorization.

21212201102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15349908 (or 15349849 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21212201102101 its reverse (10120110221212), we get a palindrome (31332311323313).

The spelling of 21212201102101 in words is "twenty-one trillion, two hundred twelve billion, two hundred one million, one hundred two thousand, one hundred one".