110002011002000 has 80 divisors (see below), whose sum is σ = 286445236716912. Its totient is φ = 40616127129600.

The previous prime is 110002011001973. The next prime is 110002011002003. The reversal of 110002011002000 is 200110200011.

It can be written as a sum of positive squares in 8 ways, for example, as 94520083956736 + 15481927045264 = 9722144^2 + 3934708^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (110002011002003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2115397289 + ... + 2115449288.

Almost surely, 2^{110002011002000} is an apocalyptic number.

110002011002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110002011002000 is an abundant number, since it is smaller than the sum of its proper divisors (176443225714912).

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

110002011002000 is a wasteful number, since it uses less digits than its factorization.

110002011002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4230846613 (or 4230846597 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110002011002000 its reverse (200110200011), we get a palindrome (110202121202011).

The spelling of 110002011002000 in words is "one hundred ten trillion, two billion, eleven million, two thousand".