110002201023200 has 144 divisors (see below), whose sum is σ = 273689824605120. Its totient is φ = 43165543680000.

The previous prime is 110002201023173. The next prime is 110002201023227. The reversal of 110002201023200 is 2320102200011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110002201023173) and next prime (110002201023227).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2562185 + ... + 15052215.

It is an arithmetic number, because the mean of its divisors is an integer number (1900623781980).

Almost surely, 2^{110002201023200} is an apocalyptic number.

110002201023200 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 110002201023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136844912302560).

110002201023200 is an abundant number, since it is smaller than the sum of its proper divisors (163687623581920).

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

110002201023200 is a wasteful number, since it uses less digits than its factorization.

110002201023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12490261 (or 12490248 counting only the distinct ones).

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

Adding to 110002201023200 its reverse (2320102200011), we get a palindrome (112322303223211).

The spelling of 110002201023200 in words is "one hundred ten trillion, two billion, two hundred one million, twenty-three thousand, two hundred".