21212121000101 has 8 divisors (see below), whose sum is σ = 21434977486200. Its totient is φ = 20989516190400.

The previous prime is 21212121000079. The next prime is 21212121000113. The reversal of 21212121000101 is 10100012121212.

It can be written as a sum of positive squares in 4 ways, for example, as 8658747630625 + 12553373369476 = 2942575^2 + 3543074^2 .

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 21212121000101 - 2¹⁰ = 21212120999077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212121000181) 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, 62749646 + ... + 63086783.

It is an arithmetic number, because the mean of its divisors is an integer number (2679372185775).

Almost surely, 2^{21212121000101} is an apocalyptic number.

It is an amenable number.

21212121000101 is a deficient number, since it is larger than the sum of its proper divisors (222856486099).

21212121000101 is a wasteful number, since it uses less digits than its factorization.

21212121000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125838199.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21212121000101 its reverse (10100012121212), we get a palindrome (31312133121313).

The spelling of 21212121000101 in words is "twenty-one trillion, two hundred twelve billion, one hundred twenty-one million, one hundred one", and thus it is an aban number.