221002222201001 has 2 divisors, whose sum is σ = 221002222201002. Its totient is φ = 221002222201000.

The previous prime is 221002222200989. The next prime is 221002222201021. The reversal of 221002222201001 is 100102222200122.

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., 207010515379600 + 13991706821401 = 14387860^2 + 3740549^2 .

It is a cyclic number.

It is not a de Polignac number, because 221002222201001 - 2⁶ = 221002222200937 is a prime.

It is not a weakly prime, because it can be changed into another prime (221002222201021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110501111100500 + 110501111100501.

It is an arithmetic number, because the mean of its divisors is an integer number (110501111100501).

Almost surely, 2^{221002222201001} is an apocalyptic number.

It is an amenable number.

221002222201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221002222201001 is an equidigital number, since it uses as much as digits as its factorization.

221002222201001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 221002222201001 its reverse (100102222200122), we get a palindrome (321104444401123).

The spelling of 221002222201001 in words is "two hundred twenty-one trillion, two billion, two hundred twenty-two million, two hundred one thousand, one".