1100107671712 has 192 divisors, whose sum is σ = 2607188726016. Its totient is φ = 447020605440.

The previous prime is 1100107671709. The next prime is 1100107671727. The reversal of 1100107671712 is 2171767010011.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444127818 + ... + 444130294.

It is an arithmetic number, because the mean of its divisors is an integer number (13579107948).

Almost surely, 2^{1100107671712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100107671712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303594363008).

1100107671712 is an abundant number, since it is smaller than the sum of its proper divisors (1507081054304).

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

1100107671712 is a wasteful number, since it uses less digits than its factorization.

1100107671712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3871 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 34.

The spelling of 1100107671712 in words is "one trillion, one hundred billion, one hundred seven million, six hundred seventy-one thousand, seven hundred twelve".