100112200320000 has 1760 divisors, whose sum is σ = 392488758693504. Its totient is φ = 22406758400000.

The previous prime is 100112200319909. The next prime is 100112200320047. The reversal of 100112200320000 is 23002211001.

It is a tau number, because it is divible by the number of its divisors (1760).

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 159 ways as a sum of consecutive naturals, for example, 19029117370 + ... + 19029122630.

Almost surely, 2^{100112200320000} is an apocalyptic number.

100112200320000 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 100112200320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196244379346752).

100112200320000 is an abundant number, since it is smaller than the sum of its proper divisors (292376558373504).

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

100112200320000 is a wasteful number, since it uses less digits than its factorization.

100112200320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5385 (or 5352 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100112200320000 its reverse (23002211001), we get a palindrome (100135202531001).

The spelling of 100112200320000 in words is "one hundred trillion, one hundred twelve billion, two hundred million, three hundred twenty thousand".