100112220000 has 720 divisors, whose sum is σ = 395462224080. Its totient is φ = 24620544000.

The previous prime is 100112219969. The next prime is 100112220001. The reversal of 100112220000 is 22211001.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112220001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 91259452 + ... + 91260548.

It is an arithmetic number, because the mean of its divisors is an integer number (549253089).

Almost surely, 2^100112220000 is an apocalyptic number.

100112220000 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 100112220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197731112040).

100112220000 is an abundant number, since it is smaller than the sum of its proper divisors (295350004080).

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

100112220000 is a wasteful number, since it uses less digits than its factorization.

100112220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100112220000 its reverse (22211001), we get a palindrome (100134431001).

The spelling of 100112220000 in words is "one hundred billion, one hundred twelve million, two hundred twenty thousand".