1101114000 has 400 divisors, whose sum is σ = 4550173056. Its totient is φ = 251424000.

The previous prime is 1101113977. The next prime is 1101114041. The reversal of 1101114000 is 4111011.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1133515 + ... + 1134485.

Almost surely, 2^1101114000 is an apocalyptic number.

1101114000 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 1101114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275086528).

1101114000 is an abundant number, since it is smaller than the sum of its proper divisors (3449059056).

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

1101114000 is an equidigital number, since it uses as much as digits as its factorization.

1101114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1101114000 is about 33183.0378356172. The cubic root of 1101114000 is about 1032.6284706286.

Adding to 1101114000 its reverse (4111011), we get a palindrome (1105225011).

The spelling of 1101114000 in words is "one billion, one hundred one million, one hundred fourteen thousand".