110100111200081 has 2 divisors, whose sum is σ = 110100111200082. Its totient is φ = 110100111200080.

The previous prime is 110100111200063. The next prime is 110100111200119. The reversal of 110100111200081 is 180002111001011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108495035049025 + 1605076151056 = 10416095^2 + 1266916^2 .

It is a cyclic number.

It is not a de Polignac number, because 110100111200081 - 2³⁸ = 109825233293137 is a prime.

It is a super-2 number, since 2×110100111200081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (110100111100081) 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, 55050055600040 + 55050055600041.

It is an arithmetic number, because the mean of its divisors is an integer number (55050055600041).

Almost surely, 2^{110100111200081} is an apocalyptic number.

It is an amenable number.

110100111200081 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100111200081 is an equidigital number, since it uses as much as digits as its factorization.

110100111200081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 110100111200081 its reverse (180002111001011), we get a palindrome (290102222201092).

The spelling of 110100111200081 in words is "one hundred ten trillion, one hundred billion, one hundred eleven million, two hundred thousand, eighty-one".