1109911101100 has 72 divisors (see below), whose sum is σ = 2555646584400. Its totient is φ = 416953835520.

The previous prime is 1109911101097. The next prime is 1109911101109. The reversal of 1109911101100 is 11011199011.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1109911101109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94876 + ... + 1492924.

It is an arithmetic number, because the mean of its divisors is an integer number (35495091450).

Almost surely, 2^{1109911101100} is an apocalyptic number.

1109911101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1109911101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277823292200).

1109911101100 is an abundant number, since it is smaller than the sum of its proper divisors (1445735483300).

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

1109911101100 is a wasteful number, since it uses less digits than its factorization.

1109911101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398547 (or 1398540 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 25.

The spelling of 1109911101100 in words is "one trillion, one hundred nine billion, nine hundred eleven million, one hundred one thousand, one hundred".