21210101002101 has 32 divisors (see below), whose sum is σ = 31286348292096. Its totient is φ = 12673243800000.

The previous prime is 21210101002043. The next prime is 21210101002127. The reversal of 21210101002101 is 10120010101212.

It is not a de Polignac number, because 21210101002101 - 2⁹ = 21210101001589 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210101002141) 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 31 ways as a sum of consecutive naturals, for example, 125047851 + ... + 125217351.

It is an arithmetic number, because the mean of its divisors is an integer number (977698384128).

Almost surely, 2^{21210101002101} is an apocalyptic number.

It is an amenable number.

21210101002101 is a deficient number, since it is larger than the sum of its proper divisors (10076247289995).

21210101002101 is a wasteful number, since it uses less digits than its factorization.

21210101002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222993.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21210101002101 its reverse (10120010101212), we get a palindrome (31330111103313).

The spelling of 21210101002101 in words is "twenty-one trillion, two hundred ten billion, one hundred one million, two thousand, one hundred one".