2111020000 has 120 divisors (see below), whose sum is σ = 5284402200. Its totient is φ = 829632000.

The previous prime is 2111019943. The next prime is 2111020001. The reversal of 2111020000 is 201112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111020001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1179106 + ... + 1180894.

It is an arithmetic number, because the mean of its divisors is an integer number (44036685).

Almost surely, 2^2111020000 is an apocalyptic number.

2111020000 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 2111020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642201100).

2111020000 is an abundant number, since it is smaller than the sum of its proper divisors (3173382200).

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

2111020000 is an equidigital number, since it uses as much as digits as its factorization.

2111020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1855 counting only the distinct ones).

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

The square root of 2111020000 is about 45945.8376787278. The cubic root of 2111020000 is about 1282.8152553594.

Adding to 2111020000 its reverse (201112), we get a palindrome (2111221112).

The spelling of 2111020000 in words is "two billion, one hundred eleven million, twenty thousand".