21001002101221 has 16 divisors (see below), whose sum is σ = 21946933877760. Its totient is φ = 20070337342720.

The previous prime is 21001002101153. The next prime is 21001002101251. The reversal of 21001002101221 is 12210120010012.

It is a cyclic number.

It is not a de Polignac number, because 21001002101221 - 2⁹ = 21001002100709 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 (21001002101251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1877845 + ... + 6747466.

It is an arithmetic number, because the mean of its divisors is an integer number (1371683367360).

Almost surely, 2^{21001002101221} is an apocalyptic number.

It is an amenable number.

21001002101221 is a deficient number, since it is larger than the sum of its proper divisors (945931776539).

21001002101221 is a wasteful number, since it uses less digits than its factorization.

21001002101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8626196.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21001002101221 its reverse (12210120010012), we get a palindrome (33211122111233).

The spelling of 21001002101221 in words is "twenty-one trillion, one billion, two million, one hundred one thousand, two hundred twenty-one".