21000221101001 has 8 divisors (see below), whose sum is σ = 21488709987360. Its totient is φ = 20511737289792.

The previous prime is 21000221100941. The next prime is 21000221101009. The reversal of 21000221101001 is 10010112200012.

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-21000221101001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21000221101009) 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 7 ways as a sum of consecutive naturals, for example, 7857926 + ... + 10185648.

It is an arithmetic number, because the mean of its divisors is an integer number (2686088748420).

Almost surely, 2^{21000221101001} is an apocalyptic number.

It is an amenable number.

21000221101001 is a deficient number, since it is larger than the sum of its proper divisors (488488886359).

21000221101001 is a wasteful number, since it uses less digits than its factorization.

21000221101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537575.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21000221101001 its reverse (10010112200012), we get a palindrome (31010333301013).

It can be divided in two parts, 2100022 and 1101001, that added together give a palindrome (3201023).

The spelling of 21000221101001 in words is "twenty-one trillion, two hundred twenty-one million, one hundred one thousand, one".