110011121201257 has 2 divisors, whose sum is σ = 110011121201258. Its totient is φ = 110011121201256.

The previous prime is 110011121201207. The next prime is 110011121201291. The reversal of 110011121201257 is 752102121110011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87002703970576 + 23008417230681 = 9327524^2 + 4796709^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110011121201257 is a prime.

It is not a weakly prime, because it can be changed into another prime (110011121201207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005560600628 + 55005560600629.

It is an arithmetic number, because the mean of its divisors is an integer number (55005560600629).

Almost surely, 2^{110011121201257} is an apocalyptic number.

It is an amenable number.

110011121201257 is a deficient number, since it is larger than the sum of its proper divisors (1).

110011121201257 is an equidigital number, since it uses as much as digits as its factorization.

110011121201257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 280, while the sum is 25.

Adding to 110011121201257 its reverse (752102121110011), we get a palindrome (862113242311268).

The spelling of 110011121201257 in words is "one hundred ten trillion, eleven billion, one hundred twenty-one million, two hundred one thousand, two hundred fifty-seven".