21210000101 has 8 divisors (see below), whose sum is σ = 21538361208. Its totient is φ = 20883960000.

The previous prime is 21210000073. The next prime is 21210000109. The reversal of 21210000101 is 10100001212.

It can be written as a sum of positive squares in 4 ways, for example, as 366148225 + 20843851876 = 19135^2 + 144374^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21210000101 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 (21210000109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 561830 + ... + 598391.

It is an arithmetic number, because the mean of its divisors is an integer number (2692295151).

Almost surely, 2^21210000101 is an apocalyptic number.

It is an amenable number.

21210000101 is a deficient number, since it is larger than the sum of its proper divisors (328361107).

21210000101 is a wasteful number, since it uses less digits than its factorization.

21210000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160503.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21210000101 its reverse (10100001212), we get a palindrome (31310001313).

The spelling of 21210000101 in words is "twenty-one billion, two hundred ten million, one hundred one", and thus it is an aban number.