110011002000 has 160 divisors (see below), whose sum is σ = 366117233664. Its totient is φ = 28389888000.

The previous prime is 110011001993. The next prime is 110011002001. The reversal of 110011002000 is 200110011.

It is a super-2 number, since 2×110011002000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a self number, because there is not a number n which added to its sum of digits gives 110011002000.

It is not an unprimeable number, because it can be changed into a prime (110011002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109729 + ... + 481728.

Almost surely, 2^110011002000 is an apocalyptic number.

110011002000 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 110011002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183058616832).

110011002000 is an abundant number, since it is smaller than the sum of its proper divisors (256106231664).

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

110011002000 is a wasteful number, since it uses less digits than its factorization.

110011002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591514 (or 591498 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 110011002000 its reverse (200110011), we get a palindrome (110211112011).

The spelling of 110011002000 in words is "one hundred ten billion, eleven million, two thousand".