21221010001 has 2 divisors, whose sum is σ = 21221010002. Its totient is φ = 21221010000.

The previous prime is 21221009993. The next prime is 21221010017. The reversal of 21221010001 is 10001012212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19775109376 + 1445900625 = 140624^2 + 38025^2 .

It is a cyclic number.

It is not a de Polignac number, because 21221010001 - 2³ = 21221009993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21221010001.

It is not a weakly prime, because it can be changed into another prime (21221010401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10610505000 + 10610505001.

It is an arithmetic number, because the mean of its divisors is an integer number (10610505001).

Almost surely, 2^21221010001 is an apocalyptic number.

It is an amenable number.

21221010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

21221010001 is an equidigital number, since it uses as much as digits as its factorization.

21221010001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21221010001 its reverse (10001012212), we get a palindrome (31222022213).

The spelling of 21221010001 in words is "twenty-one billion, two hundred twenty-one million, ten thousand, one".