221000101001 has 2 divisors, whose sum is σ = 221000101002. Its totient is φ = 221000101000.

The previous prime is 221000100983. The next prime is 221000101037. The reversal of 221000101001 is 100101000122.

221000101001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116557374025 + 104442726976 = 341405^2 + 323176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221000101001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221000101001.

It is not a weakly prime, because it can be changed into another prime (221000101051) 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, 110500050500 + 110500050501.

It is an arithmetic number, because the mean of its divisors is an integer number (110500050501).

Almost surely, 2^221000101001 is an apocalyptic number.

It is an amenable number.

221000101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221000101001 is an equidigital number, since it uses as much as digits as its factorization.

221000101001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 221000101001 its reverse (100101000122), we get a palindrome (321101101123).

The spelling of 221000101001 in words is "two hundred twenty-one billion, one hundred one thousand, one".