1101100000028 has 72 divisors (see below), whose sum is σ = 2245592894832. Its totient is φ = 471044560896.

The previous prime is 1101100000027. The next prime is 1101100000037. The reversal of 1101100000028 is 8200000011011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1101099999958 and 1101100000021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101100000027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399962300 + ... + 399965052.

It is an arithmetic number, because the mean of its divisors is an integer number (31188790206).

Almost surely, 2^{1101100000028} is an apocalyptic number.

It is an amenable number.

1101100000028 is an abundant number, since it is smaller than the sum of its proper divisors (1144492894804).

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

1101100000028 is a wasteful number, since it uses less digits than its factorization.

1101100000028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5731 (or 5722 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1101100000028 its reverse (8200000011011), we get a palindrome (9301100011039).

The spelling of 1101100000028 in words is "one trillion, one hundred one billion, one hundred million, twenty-eight", and thus it is an aban number.