2100002100 has 144 divisors (see below), whose sum is σ = 7013467776. Its totient is φ = 475200000.

The previous prime is 2100002089. The next prime is 2100002117. The reversal of 2100002100 is 12000012.

It is a happy number.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207150 + ... + 217050.

Almost surely, 2^2100002100 is an apocalyptic number.

2100002100 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 2100002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506733888).

2100002100 is an abundant number, since it is smaller than the sum of its proper divisors (4913465676).

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

2100002100 is a wasteful number, since it uses less digits than its factorization.

2100002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10026 (or 10019 counting only the distinct ones).

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

The square root of 2100002100 is about 45825.7798624311. The cubic root of 2100002100 is about 1280.5795918471.

Adding to 2100002100 its reverse (12000012), we get a palindrome (2112002112).

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

The spelling of 2100002100 in words is "two billion, one hundred million, two thousand, one hundred".