2112102000 has 160 divisors (see below), whose sum is σ = 7566212160. Its totient is φ = 563212800.

The previous prime is 2112101923. The next prime is 2112102019. The reversal of 2112102000 is 2012112.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34444 + ... + 73556.

It is an arithmetic number, because the mean of its divisors is an integer number (47288826).

Almost surely, 2^2112102000 is an apocalyptic number.

2112102000 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 2112102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783106080).

2112102000 is an abundant number, since it is smaller than the sum of its proper divisors (5454110160).

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

2112102000 is a wasteful number, since it uses less digits than its factorization.

2112102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39145 (or 39123 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2112102000 is about 45957.6109039624. The cubic root of 2112102000 is about 1283.0343862430.

Adding to 2112102000 its reverse (2012112), we get a palindrome (2114114112).

The spelling of 2112102000 in words is "two billion, one hundred twelve million, one hundred two thousand".