2110110000 has 200 divisors, whose sum is σ = 6999496944. Its totient is φ = 547200000.

The previous prime is 2110109983. The next prime is 2110110011. The reversal of 2110110000 is 110112.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 39 ways as a sum of consecutive naturals, for example, 1109050 + ... + 1110950.

Almost surely, 2^2110110000 is an apocalyptic number.

2110110000 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 2110110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499748472).

2110110000 is an abundant number, since it is smaller than the sum of its proper divisors (4889386944).

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

2110110000 is a wasteful number, since it uses less digits than its factorization.

2110110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 2110110000 is about 45935.9336467650. The cubic root of 2110110000 is about 1282.6309006144.

Adding to 2110110000 its reverse (110112), we get a palindrome (2110220112).

The spelling of 2110110000 in words is "two billion, one hundred ten million, one hundred ten thousand".