221110002201001 has 2 divisors, whose sum is σ = 221110002201002. Its totient is φ = 221110002201000.

The previous prime is 221110002200953. The next prime is 221110002201047. The reversal of 221110002201001 is 100102200011122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210298722822400 + 10811279378601 = 14501680^2 + 3288051^2 .

It is a cyclic number.

It is not a de Polignac number, because 221110002201001 - 2²⁷ = 221109867983273 is a prime.

It is not a weakly prime, because it can be changed into another prime (221110002211001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110555001100500 + 110555001100501.

It is an arithmetic number, because the mean of its divisors is an integer number (110555001100501).

Almost surely, 2^{221110002201001} is an apocalyptic number.

It is an amenable number.

221110002201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221110002201001 is an equidigital number, since it uses as much as digits as its factorization.

221110002201001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 221110002201001 its reverse (100102200011122), we get a palindrome (321212202212123).

The spelling of 221110002201001 in words is "two hundred twenty-one trillion, one hundred ten billion, two million, two hundred one thousand, one".