110001010006801 has 2 divisors, whose sum is σ = 110001010006802. Its totient is φ = 110001010006800.

The previous prime is 110001010006763. The next prime is 110001010006847. The reversal of 110001010006801 is 108600010100011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108750504579201 + 1250505427600 = 10428351^2 + 1118260^2 .

It is an emirp because it is prime and its reverse (108600010100011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110001010006801 - 2³³ = 109992420072209 is a prime.

It is not a weakly prime, because it can be changed into another prime (110001010006861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000505003400 + 55000505003401.

It is an arithmetic number, because the mean of its divisors is an integer number (55000505003401).

Almost surely, 2^{110001010006801} is an apocalyptic number.

It is an amenable number.

110001010006801 is a deficient number, since it is larger than the sum of its proper divisors (1).

110001010006801 is an equidigital number, since it uses as much as digits as its factorization.

110001010006801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 110001010006801 its reverse (108600010100011), we get a palindrome (218601020106812).

The spelling of 110001010006801 in words is "one hundred ten trillion, one billion, ten million, six thousand, eight hundred one".