110112002121000 has 256 divisors, whose sum is σ = 376164201553920. Its totient is φ = 26595315360000.

The previous prime is 110112002120971. The next prime is 110112002121013. The reversal of 110112002121000 is 121200211011.

It is a super-2 number, since 2×110112002121000² (a number of 29 digits) contains 22 as substring.

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

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, 2786677 + ... + 15099323.

It is an arithmetic number, because the mean of its divisors is an integer number (1469391412320).

Almost surely, 2^{110112002121000} is an apocalyptic number.

110112002121000 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 110112002121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188082100776960).

110112002121000 is an abundant number, since it is smaller than the sum of its proper divisors (266052199432920).

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

110112002121000 is a wasteful number, since it uses less digits than its factorization.

110112002121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12312953 (or 12312939 counting only the distinct ones).

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

Adding to 110112002121000 its reverse (121200211011), we get a palindrome (110233202332011).

The spelling of 110112002121000 in words is "one hundred ten trillion, one hundred twelve billion, two million, one hundred twenty-one thousand".