21300101002121 has 16 divisors (see below), whose sum is σ = 21836165568000. Its totient is φ = 20767601907648.

The previous prime is 21300101002093. The next prime is 21300101002129. The reversal of 21300101002121 is 12120010100312.

It is a cyclic number.

It is not a de Polignac number, because 21300101002121 - 2³⁴ = 21282921132937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21300101002096 and 21300101002105.

It is not an unprimeable number, because it can be changed into a prime (21300101002129) 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 15 ways as a sum of consecutive naturals, for example, 16825595 + ... + 18047183.

It is an arithmetic number, because the mean of its divisors is an integer number (1364760348000).

Almost surely, 2^{21300101002121} is an apocalyptic number.

It is an amenable number.

21300101002121 is a deficient number, since it is larger than the sum of its proper divisors (536064565879).

21300101002121 is a wasteful number, since it uses less digits than its factorization.

21300101002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223048.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 21300101002121 its reverse (12120010100312), we get a palindrome (33420111102433).

The spelling of 21300101002121 in words is "twenty-one trillion, three hundred billion, one hundred one million, two thousand, one hundred twenty-one".