2100210000 has 400 divisors, whose sum is σ = 7911767424. Its totient is φ = 470016000.

The previous prime is 2100209989. The next prime is 2100210019. The reversal of 2100210000 is 120012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15329932 + ... + 15330068.

Almost surely, 2^2100210000 is an apocalyptic number.

2100210000 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 2100210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955883712).

2100210000 is an abundant number, since it is smaller than the sum of its proper divisors (5811557424).

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

2100210000 is a wasteful number, since it uses less digits than its factorization.

2100210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2100210000 is about 45828.0481801265. The cubic root of 2100210000 is about 1280.6218495369.

Adding to 2100210000 its reverse (120012), we get a palindrome (2100330012).

It can be divided in two parts, 2100 and 210000, that multiplied together give a square (441000000 = 21000²).

The spelling of 2100210000 in words is "two billion, one hundred million, two hundred ten thousand".