221210001010001 has 2 divisors, whose sum is σ = 221210001010002. Its totient is φ = 221210001010000.

The previous prime is 221210001009883. The next prime is 221210001010099. The reversal of 221210001010001 is 100010100012122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 161199182387776 + 60010818622225 = 12696424^2 + 7746665^2 .

It is a cyclic number.

It is not a de Polignac number, because 221210001010001 - 2¹⁰ = 221210001008977 is a prime.

It is not a weakly prime, because it can be changed into another prime (221218001010001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110605000505000 + 110605000505001.

It is an arithmetic number, because the mean of its divisors is an integer number (110605000505001).

Almost surely, 2^{221210001010001} is an apocalyptic number.

It is an amenable number.

221210001010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221210001010001 is an equidigital number, since it uses as much as digits as its factorization.

221210001010001 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 221210001010001 its reverse (100010100012122), we get a palindrome (321220101022123).

The spelling of 221210001010001 in words is "two hundred twenty-one trillion, two hundred ten billion, one million, ten thousand, one".