110002211121000 has 512 divisors, whose sum is σ = 404764978176000. Its totient is φ = 24580858752000.

The previous prime is 110002211120969. The next prime is 110002211121017. The reversal of 110002211121000 is 121112200011.

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 127 ways as a sum of consecutive naturals, for example, 20828161 + ... + 25569839.

It is an arithmetic number, because the mean of its divisors is an integer number (790556598000).

Almost surely, 2^{110002211121000} is an apocalyptic number.

110002211121000 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 110002211121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202382489088000).

110002211121000 is an abundant number, since it is smaller than the sum of its proper divisors (294762767055000).

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

110002211121000 is a wasteful number, since it uses less digits than its factorization.

110002211121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4741770 (or 4741756 counting only the distinct ones).

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

Adding to 110002211121000 its reverse (121112200011), we get a palindrome (110123323321011).

The spelling of 110002211121000 in words is "one hundred ten trillion, two billion, two hundred eleven million, one hundred twenty-one thousand".