110100101100001 has 2 divisors, whose sum is σ = 110100101100002. Its totient is φ = 110100101100000.

The previous prime is 110100101099969. The next prime is 110100101100037. The reversal of 110100101100001 is 100001101001011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104588992719376 + 5511108380625 = 10226876^2 + 2347575^2 .

It is a cyclic number.

It is not a de Polignac number, because 110100101100001 - 2⁵ = 110100101099969 is a prime.

It is not a weakly prime, because it can be changed into another prime (110100101100601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050050550000 + 55050050550001.

It is an arithmetic number, because the mean of its divisors is an integer number (55050050550001).

Almost surely, 2^{110100101100001} is an apocalyptic number.

It is an amenable number.

110100101100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100101100001 is an equidigital number, since it uses as much as digits as its factorization.

110100101100001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 110100101100001 its reverse (100001101001011), we get a palindrome (210101202101012).

The spelling of 110100101100001 in words is "one hundred ten trillion, one hundred billion, one hundred one million, one hundred thousand, one".