1101101000 has 128 divisors (see below), whose sum is σ = 2730499200. Its totient is φ = 414892800.

The previous prime is 1101100993. The next prime is 1101101009. The reversal of 1101101000 is 1011011.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (1101101009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1246559 + ... + 1247441.

It is an arithmetic number, because the mean of its divisors is an integer number (21332025).

Almost surely, 2^1101101000 is an apocalyptic number.

1101101000 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 1101101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365249600).

1101101000 is an abundant number, since it is smaller than the sum of its proper divisors (1629398200).

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

1101101000 is a wasteful number, since it uses less digits than its factorization.

1101101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

The square root of 1101101000 is about 33182.8419518281. The cubic root of 1101101000 is about 1032.6244067978.

Adding to 1101101000 its reverse (1011011), we get a palindrome (1102112011).

The spelling of 1101101000 in words is "one billion, one hundred one million, one hundred one thousand".