2112000100000 has 576 divisors, whose sum is σ = 6620718746880. Its totient is φ = 645580800000.

The previous prime is 2112000099997. The next prime is 2112000100013. The reversal of 2112000100000 is 10002112.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226095330 + ... + 226104670.

It is an arithmetic number, because the mean of its divisors is an integer number (11494303380).

Almost surely, 2^{2112000100000} is an apocalyptic number.

2112000100000 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 2112000100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310359373440).

2112000100000 is an abundant number, since it is smaller than the sum of its proper divisors (4508718646880).

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

2112000100000 is an equidigital number, since it uses as much as digits as its factorization.

2112000100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9419 (or 9391 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2112000100000 its reverse (10002112), we get a palindrome (2112010102112).

It can be divided in two parts, 21 and 12000100000, that added together give a palindrome (12000100021).

The spelling of 2112000100000 in words is "two trillion, one hundred twelve billion, one hundred thousand".