110101010100081 has 32 divisors (see below), whose sum is σ = 197103906198528. Its totient is φ = 52795689157440.

The previous prime is 110101010100047. The next prime is 110101010100083. The reversal of 110101010100081 is 180001010101011.

It is not a de Polignac number, because 110101010100081 - 2⁷ = 110101010099953 is a prime.

It is a super-2 number, since 2×110101010100081² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110101010100081.

It is not an unprimeable number, because it can be changed into a prime (110101010100083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18331833511 + ... + 18331839516.

It is an arithmetic number, because the mean of its divisors is an integer number (6159497068704).

Almost surely, 2^{110101010100081} is an apocalyptic number.

110101010100081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110101010100081 is a deficient number, since it is larger than the sum of its proper divisors (87002896098447).

110101010100081 is a wasteful number, since it uses less digits than its factorization.

110101010100081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36663673061.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 110101010100081 its reverse (180001010101011), we get a palindrome (290102020201092).

The spelling of 110101010100081 in words is "one hundred ten trillion, one hundred one billion, ten million, one hundred thousand, eighty-one".