112012101000 has 192 divisors, whose sum is σ = 379183961520. Its totient is φ = 29823897600.

The previous prime is 112012100999. The next prime is 112012101031. The reversal of 112012101000 is 101210211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 214153956 + 111797947044 = 14634^2 + 334362^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6047754 + ... + 6066246.

Almost surely, 2^112012101000 is an apocalyptic number.

112012101000 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 112012101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189591980760).

112012101000 is an abundant number, since it is smaller than the sum of its proper divisors (267171860520).

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

112012101000 is a wasteful number, since it uses less digits than its factorization.

112012101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19193 (or 19176 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112012101000 its reverse (101210211), we get a palindrome (112113311211).

The spelling of 112012101000 in words is "one hundred twelve billion, twelve million, one hundred one thousand".