221100002220257 has 2 divisors, whose sum is σ = 221100002220258. Its totient is φ = 221100002220256.

The previous prime is 221100002220217. The next prime is 221100002220277. The reversal of 221100002220257 is 752022200001122.

It is a happy number.

221100002220257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221096707001041 + 3295219216 = 14869321^2 + 57404^2 .

It is a cyclic number.

It is not a de Polignac number, because 221100002220257 - 2¹⁶ = 221100002154721 is a prime.

It is a super-2 number, since 2×221100002220257² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221100002220217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110550001110128 + 110550001110129.

It is an arithmetic number, because the mean of its divisors is an integer number (110550001110129).

Almost surely, 2^{221100002220257} is an apocalyptic number.

It is an amenable number.

221100002220257 is a deficient number, since it is larger than the sum of its proper divisors (1).

221100002220257 is an equidigital number, since it uses as much as digits as its factorization.

221100002220257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2240, while the sum is 26.

Adding to 221100002220257 its reverse (752022200001122), we get a palindrome (973122202221379).

The spelling of 221100002220257 in words is "two hundred twenty-one trillion, one hundred billion, two million, two hundred twenty thousand, two hundred fifty-seven".