11000101101228 has 36 divisors (see below), whose sum is σ = 27814016149920. Its totient is φ = 3665618384736.

The previous prime is 11000101101221. The next prime is 11000101101257. The reversal of 11000101101228 is 82210110100011.

It is a tau number, because it is divible by the number of its divisors (36).

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 11000101101228.

It is not an unprimeable number, because it can be changed into a prime (11000101101221) 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 in 11 ways as a sum of consecutive naturals, for example, 44958900 + ... + 45202907.

It is an arithmetic number, because the mean of its divisors is an integer number (772611559720).

Almost surely, 2^{11000101101228} is an apocalyptic number.

11000101101228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11000101101228 is an abundant number, since it is smaller than the sum of its proper divisors (16813915048692).

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

11000101101228 is a wasteful number, since it uses less digits than its factorization.

11000101101228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90165206 (or 90165201 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11000101101228 its reverse (82210110100011), we get a palindrome (93210211201239).

The spelling of 11000101101228 in words is "eleven trillion, one hundred one million, one hundred one thousand, two hundred twenty-eight".