110100101100601 has 2 divisors, whose sum is σ = 110100101100602. Its totient is φ = 110100101100600.

The previous prime is 110100101100581. The next prime is 110100101100611. The reversal of 110100101100601 is 106001101001011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66898085765625 + 43202015334976 = 8179125^2 + 6572824^2 .

It is an emirp because it is prime and its reverse (106001101001011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110100101100601 - 2⁵ = 110100101100569 is a prime.

It is a super-2 number, since 2×110100101100601² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (110100101100611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050050550300 + 55050050550301.

It is an arithmetic number, because the mean of its divisors is an integer number (55050050550301).

Almost surely, 2^{110100101100601} is an apocalyptic number.

It is an amenable number.

110100101100601 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100101100601 is an equidigital number, since it uses as much as digits as its factorization.

110100101100601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 110100101100601 its reverse (106001101001011), we get a palindrome (216101202101612).

The spelling of 110100101100601 in words is "one hundred ten trillion, one hundred billion, one hundred one million, one hundred thousand, six hundred one".