110001002000 has 160 divisors (see below), whose sum is σ = 279270875520. Its totient is φ = 41847590400.

The previous prime is 110001001987. The next prime is 110001002021. The reversal of 110001002000 is 200100011.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3871847 + ... + 3900153.

It is an arithmetic number, because the mean of its divisors is an integer number (1745442972).

Almost surely, 2^110001002000 is an apocalyptic number.

110001002000 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 110001002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139635437760).

110001002000 is an abundant number, since it is smaller than the sum of its proper divisors (169269873520).

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

110001002000 is a wasteful number, since it uses less digits than its factorization.

110001002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28426 (or 28410 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 110001002000 its reverse (200100011), we get a palindrome (110201102011).

The spelling of 110001002000 in words is "one hundred ten billion, one million, two thousand".