221001002022001 has 2 divisors, whose sum is σ = 221001002022002. Its totient is φ = 221001002022000.

The previous prime is 221001002021999. The next prime is 221001002022103. The reversal of 221001002022001 is 100220200100122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220516530340401 + 484471681600 = 14849799^2 + 696040^2 .

It is a cyclic number.

It is not a de Polignac number, because 221001002022001 - 2¹ = 221001002021999 is a prime.

Together with 221001002021999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (221001002082001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110500501011000 + 110500501011001.

It is an arithmetic number, because the mean of its divisors is an integer number (110500501011001).

Almost surely, 2^{221001002022001} is an apocalyptic number.

It is an amenable number.

221001002022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221001002022001 is an equidigital number, since it uses as much as digits as its factorization.

221001002022001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 221001002022001 its reverse (100220200100122), we get a palindrome (321221202122123).

The spelling of 221001002022001 in words is "two hundred twenty-one trillion, one billion, two million, twenty-two thousand, one".