3003002100 has 180 divisors, whose sum is σ = 11125405984. Its totient is φ = 686387520.

The previous prime is 3003002099. The next prime is 3003002129. The reversal of 3003002100 is 12003003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×3003002100² = 18036043225208820000, 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30219 + ... + 83181.

Almost surely, 2^3003002100 is an apocalyptic number.

3003002100 is a gapful number since it is divisible by the number (30) 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 3003002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5562702992).

3003002100 is an abundant number, since it is smaller than the sum of its proper divisors (8122403884).

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

3003002100 is a wasteful number, since it uses less digits than its factorization.

3003002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52996 (or 52980 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3003002100 is about 54799.6541959892. The cubic root of 3003002100 is about 1442.7304963039.

Adding to 3003002100 its reverse (12003003), we get a palindrome (3015005103).

The spelling of 3003002100 in words is "three billion, three million, two thousand, one hundred".