2101110000 has 200 divisors, whose sum is σ = 7400431104. Its totient is φ = 509280000.

The previous prime is 2101109977. The next prime is 2101110013. The reversal of 2101110000 is 111012.

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 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 39 ways as a sum of consecutive naturals, for example, 326817 + ... + 333183.

Almost surely, 2^2101110000 is an apocalyptic number.

2101110000 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 2101110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700215552).

2101110000 is an abundant number, since it is smaller than the sum of its proper divisors (5299321104).

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

2101110000 is a wasteful number, since it uses less digits than its factorization.

2101110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409 (or 6388 counting only the distinct ones).

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

The square root of 2101110000 is about 45837.8664424949. The cubic root of 2101110000 is about 1280.8047510989.

Adding to 2101110000 its reverse (111012), we get a palindrome (2101221012).

It can be divided in two parts, 2101 and 110000, that added together give a triangular number (112101 = T₄₇₃).

The spelling of 2101110000 in words is "two billion, one hundred one million, one hundred ten thousand".