20101110200000 has 168 divisors, whose sum is σ = 50034551521248. Its totient is φ = 8011808000000.

The previous prime is 20101110199997. The next prime is 20101110200021. The reversal of 20101110200000 is 201110102.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 56021165 + ... + 56378835.

It is an arithmetic number, because the mean of its divisors is an integer number (297824711436).

Almost surely, 2^{20101110200000} is an apocalyptic number.

20101110200000 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 20101110200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25017275760624).

20101110200000 is an abundant number, since it is smaller than the sum of its proper divisors (29933441321248).

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

20101110200000 is an frugal number, since it uses more digits than its factorization.

20101110200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357989 (or 357959 counting only the distinct ones).

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

Adding to 20101110200000 its reverse (201110102), we get a palindrome (20101311310102).

The spelling of 20101110200000 in words is "twenty trillion, one hundred one billion, one hundred ten million, two hundred thousand".