21100101001221 has 32 divisors (see below), whose sum is σ = 31574242764288. Its totient is φ = 12421123122240.

The previous prime is 21100101001219. The next prime is 21100101001253. The reversal of 21100101001221 is 12210010100112.

It is not a de Polignac number, because 21100101001221 - 2¹ = 21100101001219 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21100101001197 and 21100101001206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100101001621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14003035 + ... + 15436488.

It is an arithmetic number, because the mean of its divisors is an integer number (986695086384).

Almost surely, 2^{21100101001221} is an apocalyptic number.

It is an amenable number.

21100101001221 is a deficient number, since it is larger than the sum of its proper divisors (10474141763067).

21100101001221 is a wasteful number, since it uses less digits than its factorization.

21100101001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29440161.

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

Adding to 21100101001221 its reverse (12210010100112), we get a palindrome (33310111101333).

The spelling of 21100101001221 in words is "twenty-one trillion, one hundred billion, one hundred one million, one thousand, two hundred twenty-one".