21210010000101 has 48 divisors (see below), whose sum is σ = 34099037586432. Its totient is φ = 12615921849600.

The previous prime is 21210010000097. The next prime is 21210010000171. The reversal of 21210010000101 is 10100001001212.

It is a happy number.

It is not a de Polignac number, because 21210010000101 - 2² = 21210010000097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210010000171) 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 47 ways as a sum of consecutive naturals, for example, 567720 + ... + 6537761.

It is an arithmetic number, because the mean of its divisors is an integer number (710396616384).

Almost surely, 2^{21210010000101} is an apocalyptic number.

It is an amenable number.

21210010000101 is a deficient number, since it is larger than the sum of its proper divisors (12889027586331).

21210010000101 is a wasteful number, since it uses less digits than its factorization.

21210010000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7106354 (or 7106351 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21210010000101 its reverse (10100001001212), we get a palindrome (31310011001313).

The spelling of 21210010000101 in words is "twenty-one trillion, two hundred ten billion, ten million, one hundred one", and thus it is an aban number.