110112011002000 has 240 divisors, whose sum is σ = 309933053015040. Its totient is φ = 37726764768000.

The previous prime is 110112011001983. The next prime is 110112011002027. The reversal of 110112011002000 is 200110211011.

It is a super-3 number, since 3×110112011002000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142596945 + ... + 143367055.

It is an arithmetic number, because the mean of its divisors is an integer number (1291387720896).

Almost surely, 2^{110112011002000} is an apocalyptic number.

110112011002000 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 110112011002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154966526507520).

110112011002000 is an abundant number, since it is smaller than the sum of its proper divisors (199821042013040).

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

110112011002000 is a wasteful number, since it uses less digits than its factorization.

110112011002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771607 (or 771584 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110112011002000 its reverse (200110211011), we get a palindrome (110312121213011).

The spelling of 110112011002000 in words is "one hundred ten trillion, one hundred twelve billion, eleven million, two thousand".