110101100101128 has 32 divisors (see below), whose sum is σ = 305836389170400. Its totient is φ = 36700366700304.

The previous prime is 110101100101127. The next prime is 110101100101147. The reversal of 110101100101128 is 821101001101011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 110101100101128.

It is not an unprimeable number, because it can be changed into a prime (110101100101127) 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 7 ways as a sum of consecutive naturals, for example, 254863657426 + ... + 254863657857.

It is an arithmetic number, because the mean of its divisors is an integer number (9557387161575).

Almost surely, 2^{110101100101128} is an apocalyptic number.

110101100101128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

110101100101128 is an abundant number, since it is smaller than the sum of its proper divisors (195735289069272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110101100101128 is a wasteful number, since it uses less digits than its factorization.

110101100101128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509727315298 (or 509727315288 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 110101100101128 its reverse (821101001101011), we get a palindrome (931202101202139).

The spelling of 110101100101128 in words is "one hundred ten trillion, one hundred one billion, one hundred million, one hundred one thousand, one hundred twenty-eight".