110141310400117 has 2 divisors, whose sum is σ = 110141310400118. Its totient is φ = 110141310400116.

The previous prime is 110141310400007. The next prime is 110141310400159. The reversal of 110141310400117 is 711004013141011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86973511269681 + 23167799130436 = 9325959^2 + 4813294^2 .

It is a cyclic number.

It is not a de Polignac number, because 110141310400117 - 2¹⁹ = 110141309875829 is a prime.

It is a super-2 number, since 2×110141310400117² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110141310400091 and 110141310400100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110141310470117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55070655200058 + 55070655200059.

It is an arithmetic number, because the mean of its divisors is an integer number (55070655200059).

Almost surely, 2^{110141310400117} is an apocalyptic number.

It is an amenable number.

110141310400117 is a deficient number, since it is larger than the sum of its proper divisors (1).

110141310400117 is an equidigital number, since it uses as much as digits as its factorization.

110141310400117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 25.

Adding to 110141310400117 its reverse (711004013141011), we get a palindrome (821145323541128).

The spelling of 110141310400117 in words is "one hundred ten trillion, one hundred forty-one billion, three hundred ten million, four hundred thousand, one hundred seventeen".