110101201100257 has 2 divisors, whose sum is σ = 110101201100258. Its totient is φ = 110101201100256.

The previous prime is 110101201100243. The next prime is 110101201100299. The reversal of 110101201100257 is 752001102101011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72576155258896 + 37525045841361 = 8519164^2 + 6125769^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101201100257 - 2⁷ = 110101201100129 is a prime.

It is not a weakly prime, because it can be changed into another prime (110101201100207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050600550128 + 55050600550129.

It is an arithmetic number, because the mean of its divisors is an integer number (55050600550129).

Almost surely, 2^{110101201100257} is an apocalyptic number.

It is an amenable number.

110101201100257 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101201100257 is an equidigital number, since it uses as much as digits as its factorization.

110101201100257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 22.

Adding to 110101201100257 its reverse (752001102101011), we get a palindrome (862102303201268).

The spelling of 110101201100257 in words is "one hundred ten trillion, one hundred one billion, two hundred one million, one hundred thousand, two hundred fifty-seven".