2112344201020 has 192 divisors, whose sum is σ = 4763670912000. Its totient is φ = 784513382400.

The previous prime is 2112344200973. The next prime is 2112344201041. The reversal of 2112344201020 is 201024432112.

It is a junction number, because it is equal to n+sod(n) for n = 2112344200982 and 2112344201000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1779564867 + ... + 1779566053.

It is an arithmetic number, because the mean of its divisors is an integer number (24810786000).

Almost surely, 2^{2112344201020} is an apocalyptic number.

2112344201020 is a gapful number since it is divisible by the number (20) 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 2112344201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381835456000).

2112344201020 is an abundant number, since it is smaller than the sum of its proper divisors (2651326710980).

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

2112344201020 is a wasteful number, since it uses less digits than its factorization.

2112344201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 2112344201020 its reverse (201024432112), we get a palindrome (2313368633132).

The spelling of 2112344201020 in words is "two trillion, one hundred twelve billion, three hundred forty-four million, two hundred one thousand, twenty".