221000201011001 has 2 divisors, whose sum is σ = 221000201011002. Its totient is φ = 221000201011000.

The previous prime is 221000201010971. The next prime is 221000201011013. The reversal of 221000201011001 is 100110102000122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124330974144400 + 96669226866601 = 11150380^2 + 9832051^2 .

It is a cyclic number.

It is not a de Polignac number, because 221000201011001 - 2¹⁰ = 221000201009977 is a prime.

It is not a weakly prime, because it can be changed into another prime (221000201011091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110500100505500 + 110500100505501.

It is an arithmetic number, because the mean of its divisors is an integer number (110500100505501).

Almost surely, 2^{221000201011001} is an apocalyptic number.

It is an amenable number.

221000201011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221000201011001 is an equidigital number, since it uses as much as digits as its factorization.

221000201011001 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 11.

Adding to 221000201011001 its reverse (100110102000122), we get a palindrome (321110303011123).

The spelling of 221000201011001 in words is "two hundred twenty-one trillion, two hundred one million, eleven thousand, one".