3002022224100 has 144 divisors (see below), whose sum is σ = 9651529137600. Its totient is φ = 800490850560.

The previous prime is 3002022224093. The next prime is 3002022224101. The reversal of 3002022224100 is 14222202003.

3002022224100 is a `hidden beast` number, since 30 + 0 + 2 + 0 + 2 + 222 + 410 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3002022224101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79196352 + ... + 79234248.

It is an arithmetic number, because the mean of its divisors is an integer number (67024507900).

Almost surely, 2^{3002022224100} is an apocalyptic number.

3002022224100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3002022224100 is an abundant number, since it is smaller than the sum of its proper divisors (6649506913500).

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

3002022224100 is a wasteful number, since it uses less digits than its factorization.

3002022224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67259 (or 67246 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 3002022224100 its reverse (14222202003), we get a palindrome (3016244426103).

The spelling of 3002022224100 in words is "three trillion, two billion, twenty-two million, two hundred twenty-four thousand, one hundred".