11000661100 has 144 divisors (see below), whose sum is σ = 28108888416. Its totient is φ = 3684096000.

The previous prime is 11000661071. The next prime is 11000661101. The reversal of 11000661100 is 116600011.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11000661101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11739832 + ... + 11740768.

It is an arithmetic number, because the mean of its divisors is an integer number (195200614).

Almost surely, 2^11000661100 is an apocalyptic number.

11000661100 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 11000661100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14054444208).

11000661100 is an abundant number, since it is smaller than the sum of its proper divisors (17108227316).

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

11000661100 is a wasteful number, since it uses less digits than its factorization.

11000661100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 11000661100 in words is "eleven billion, six hundred sixty-one thousand, one hundred".