110222121100000 has 864 divisors, whose sum is σ = 338123928683520. Its totient is φ = 34627357440000.

The previous prime is 110222121099977. The next prime is 110222121100061. The reversal of 110222121100000 is 1121222011.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16443696649 + ... + 16443703351.

It is an arithmetic number, because the mean of its divisors is an integer number (391347139680).

Almost surely, 2^{110222121100000} is an apocalyptic number.

110222121100000 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 110222121100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169061964341760).

110222121100000 is an abundant number, since it is smaller than the sum of its proper divisors (227901807583520).

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

110222121100000 is an equidigital number, since it uses as much as digits as its factorization.

110222121100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6910 (or 6869 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 110222121100000 its reverse (1121222011), we get a palindrome (110223242322011).

The spelling of 110222121100000 in words is "one hundred ten trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred thousand".