3002211312100 has 288 divisors, whose sum is σ = 8824583690496. Its totient is φ = 856125849600.

The previous prime is 3002211311989. The next prime is 3002211312151. The reversal of 3002211312100 is 12131122003.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11178592 + ... + 11444008.

It is an arithmetic number, because the mean of its divisors is an integer number (30640915592).

Almost surely, 2^{3002211312100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002211312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4412291845248).

3002211312100 is an abundant number, since it is smaller than the sum of its proper divisors (5822372378396).

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

3002211312100 is a wasteful number, since it uses less digits than its factorization.

3002211312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265575 (or 265568 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 3002211312100 its reverse (12131122003), we get a palindrome (3014342434103).

The spelling of 3002211312100 in words is "three trillion, two billion, two hundred eleven million, three hundred twelve thousand, one hundred".