3001202100 has 432 divisors, whose sum is σ = 10919301120. Its totient is φ = 682905600.

The previous prime is 3001202093. The next prime is 3001202107. The reversal of 3001202100 is 12021003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3001202093) and next prime (3001202107).

It is a super-3 number, since 3×3001202100³ (a number of 29 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (3001202107) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 15713005 + ... + 15713195.

It is an arithmetic number, because the mean of its divisors is an integer number (25276160).

Almost surely, 2^3001202100 is an apocalyptic number.

3001202100 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 3001202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459650560).

3001202100 is an abundant number, since it is smaller than the sum of its proper divisors (7918099020).

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

3001202100 is a wasteful number, since it uses less digits than its factorization.

3001202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

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

The square root of 3001202100 is about 54783.2282728939. The cubic root of 3001202100 is about 1442.4421810509.

Adding to 3001202100 its reverse (12021003), we get a palindrome (3013223103).

The spelling of 3001202100 in words is "three billion, one million, two hundred two thousand, one hundred".