110201200022100 has 576 divisors, whose sum is σ = 364808858738688. Its totient is φ = 25423799808000.

The previous prime is 110201200022047. The next prime is 110201200022107. The reversal of 110201200022100 is 1220002102011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110201200022107) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41258403765 + ... + 41258406435.

It is an arithmetic number, because the mean of its divisors is an integer number (633348713088).

Almost surely, 2^{110201200022100} is an apocalyptic number.

110201200022100 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 110201200022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182404429369344).

110201200022100 is an abundant number, since it is smaller than the sum of its proper divisors (254607658716588).

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

110201200022100 is a wasteful number, since it uses less digits than its factorization.

110201200022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5288 (or 5281 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110201200022100 its reverse (1220002102011), we get a palindrome (111421202124111).

The spelling of 110201200022100 in words is "one hundred ten trillion, two hundred one billion, two hundred million, twenty-two thousand, one hundred".