110002110002000 has 160 divisors (see below), whose sum is σ = 268650632678688. Its totient is φ = 43560000000000.

The previous prime is 110002110001999. The next prime is 110002110002009. The reversal of 110002110002000 is 200011200011.

It can be written as a sum of positive squares in 16 ways, for example, as 50290450163776 + 59711659838224 = 7091576^2 + 7727332^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110002110002009) 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, 1999974500 + ... + 2000029500.

Almost surely, 2^{110002110002000} is an apocalyptic number.

110002110002000 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 110002110002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134325316339344).

110002110002000 is an abundant number, since it is smaller than the sum of its proper divisors (158648522676688).

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

110002110002000 is a wasteful number, since it uses less digits than its factorization.

110002110002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65026 (or 65010 counting only the distinct ones).

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

Adding to 110002110002000 its reverse (200011200011), we get a palindrome (110202121202011).

The spelling of 110002110002000 in words is "one hundred ten trillion, two billion, one hundred ten million, two thousand".