112110021101000 has 256 divisors, whose sum is σ = 289779896952000. Its totient is φ = 40340831232000.

The previous prime is 112110021100999. The next prime is 112110021101003. The reversal of 112110021101000 is 101120011211.

It can be written as a sum of positive squares in 32 ways, for example, as 27254935831876 + 84855085269124 = 5220626^2 + 9211682^2 .

It is not an unprimeable number, because it can be changed into a prime (112110021101003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102114980 + ... + 103207020.

Almost surely, 2^{112110021101000} is an apocalyptic number.

112110021101000 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 112110021101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144889948476000).

112110021101000 is an abundant number, since it is smaller than the sum of its proper divisors (177669875851000).

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

112110021101000 is a wasteful number, since it uses less digits than its factorization.

112110021101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092277 (or 1092263 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 112110021101000 its reverse (101120011211), we get a palindrome (112211141112211).

The spelling of 112110021101000 in words is "one hundred twelve trillion, one hundred ten billion, twenty-one million, one hundred one thousand".