2100302100 has 216 divisors, whose sum is σ = 7172900280. Its totient is φ = 510935040.

The previous prime is 2100302081. The next prime is 2100302129. The reversal of 2100302100 is 12030012.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 881733636 + 1218568464 = 29694^2 + 34908^2 .

It is a super-2 number, since 2×2100302100² = 8822537822528820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1040292 + ... + 1042308.

Almost surely, 2^2100302100 is an apocalyptic number.

2100302100 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 2100302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586450140).

2100302100 is an abundant number, since it is smaller than the sum of its proper divisors (5072598180).

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

2100302100 is a wasteful number, since it uses less digits than its factorization.

2100302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2100302100 is about 45829.0530122541. The cubic root of 2100302100 is about 1280.6405688631.

Adding to 2100302100 its reverse (12030012), we get a palindrome (2112332112).

The spelling of 2100302100 in words is "two billion, one hundred million, three hundred two thousand, one hundred".