201110340020000 has 240 divisors, whose sum is σ = 503285373221400. Its totient is φ = 79060408320000.

The previous prime is 201110340019991. The next prime is 201110340020017. The reversal of 201110340020000 is 20043011102.

It can be written as a sum of positive squares in 20 ways, for example, as 76813795865104 + 124296544154896 = 8764348^2 + 11148836^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1499312936 + ... + 1499447064.

Almost surely, 2^{201110340020000} is an apocalyptic number.

201110340020000 is a gapful number since it is divisible by the number (20) 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 201110340020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251642686610700).

201110340020000 is an abundant number, since it is smaller than the sum of its proper divisors (302175033201400).

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

201110340020000 is a wasteful number, since it uses less digits than its factorization.

201110340020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135449 (or 135426 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 201110340020000 its reverse (20043011102), we get a palindrome (201130383031102).

The spelling of 201110340020000 in words is "two hundred one trillion, one hundred ten billion, three hundred forty million, twenty thousand".