1101100006128 has 80 divisors (see below), whose sum is σ = 2847677022720. Its totient is φ = 366624763392.

The previous prime is 1101100006099. The next prime is 1101100006133. The reversal of 1101100006128 is 8216000011011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 246715225 + ... + 246719687.

It is an arithmetic number, because the mean of its divisors is an integer number (35595962784).

Almost surely, 2^{1101100006128} is an apocalyptic number.

It is an amenable number.

1101100006128 is an abundant number, since it is smaller than the sum of its proper divisors (1746577016592).

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

1101100006128 is a wasteful number, since it uses less digits than its factorization.

1101100006128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9046 (or 9040 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 21.

Adding to 1101100006128 its reverse (8216000011011), we get a palindrome (9317100017139).

The spelling of 1101100006128 in words is "one trillion, one hundred one billion, one hundred million, six thousand, one hundred twenty-eight".