110201200000100 has 432 divisors, whose sum is σ = 278259780859200. Its totient is φ = 37465344000000.

The previous prime is 110201200000093. The next prime is 110201200000109. The reversal of 110201200000100 is 1000002102011.

It is a super-3 number, since 3×110201200000100³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (110201200000109) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85493560256 + ... + 85493561544.

It is an arithmetic number, because the mean of its divisors is an integer number (644119863100).

Almost surely, 2^{110201200000100} is an apocalyptic number.

110201200000100 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 110201200000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139129890429600).

110201200000100 is an abundant number, since it is smaller than the sum of its proper divisors (168058580859100).

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

110201200000100 is a wasteful number, since it uses less digits than its factorization.

110201200000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1828 counting only the distinct ones).

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

Adding to 110201200000100 its reverse (1000002102011), we get a palindrome (111201202102111).

The spelling of 110201200000100 in words is "one hundred ten trillion, two hundred one billion, two hundred million, one hundred", and thus it is an aban number.