110221121100257 has 2 divisors, whose sum is σ = 110221121100258. Its totient is φ = 110221121100256.

The previous prime is 110221121100149. The next prime is 110221121100281. The reversal of 110221121100257 is 752001121122011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74800340340961 + 35420780759296 = 8648719^2 + 5951536^2 .

It is a cyclic number.

It is not a de Polignac number, because 110221121100257 - 2⁸ = 110221121100001 is a prime.

It is not a weakly prime, because it can be changed into another prime (110221121103257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55110560550128 + 55110560550129.

It is an arithmetic number, because the mean of its divisors is an integer number (55110560550129).

Almost surely, 2^{110221121100257} is an apocalyptic number.

It is an amenable number.

110221121100257 is a deficient number, since it is larger than the sum of its proper divisors (1).

110221121100257 is an equidigital number, since it uses as much as digits as its factorization.

110221121100257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 560, while the sum is 26.

Adding to 110221121100257 its reverse (752001121122011), we get a palindrome (862222242222268).

The spelling of 110221121100257 in words is "one hundred ten trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred thousand, two hundred fifty-seven".