2111102000 has 160 divisors (see below), whose sum is σ = 5895586944. Its totient is φ = 716160000.

The previous prime is 2111101997. The next prime is 2111102011. The reversal of 2111102000 is 2011112.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 1413254 + ... + 1414746.

Almost surely, 2^2111102000 is an apocalyptic number.

2111102000 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 2111102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947793472).

2111102000 is an abundant number, since it is smaller than the sum of its proper divisors (3784484944).

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

2111102000 is a wasteful number, since it uses less digits than its factorization.

2111102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2111102000 is about 45946.7300251062. The cubic root of 2111102000 is about 1282.8318649429.

Adding to 2111102000 its reverse (2011112), we get a palindrome (2113113112).

The spelling of 2111102000 in words is "two billion, one hundred eleven million, one hundred two thousand".