112010100022000 has 160 divisors (see below), whose sum is σ = 271767762249984. Its totient is φ = 44650682784000.

The previous prime is 112010100021907. The next prime is 112010100022001. The reversal of 112010100022000 is 220001010211.

It is a super-3 number, since 3×112010100022000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112010100022001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5090662999 + ... + 5090685001.

Almost surely, 2^{112010100022000} is an apocalyptic number.

112010100022000 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 112010100022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135883881124992).

112010100022000 is an abundant number, since it is smaller than the sum of its proper divisors (159757662227984).

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

112010100022000 is a wasteful number, since it uses less digits than its factorization.

112010100022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30624 (or 30608 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 112010100022000 its reverse (220001010211), we get a palindrome (112230101032211).

The spelling of 112010100022000 in words is "one hundred twelve trillion, ten billion, one hundred million, twenty-two thousand".