110102201112000 has 448 divisors, whose sum is σ = 364815771540480. Its totient is φ = 29259082240000.

The previous prime is 110102201111983. The next prime is 110102201112011. The reversal of 110102201112000 is 211102201011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16430708650 + ... + 16430715350.

Almost surely, 2^{110102201112000} is an apocalyptic number.

110102201112000 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 110102201112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182407885770240).

110102201112000 is an abundant number, since it is smaller than the sum of its proper divisors (254713570428480).

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

110102201112000 is a wasteful number, since it uses less digits than its factorization.

110102201112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8997 (or 8977 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110102201112000 its reverse (211102201011), we get a palindrome (110313303313011).

It can be divided in two parts, 110102 and 201112000, that added together give a palindrome (201222102).

The spelling of 110102201112000 in words is "one hundred ten trillion, one hundred two billion, two hundred one million, one hundred twelve thousand".