1002100204224 has 504 divisors, whose sum is σ = 3463920570240. Its totient is φ = 275849183232.

The previous prime is 1002100204223. The next prime is 1002100204241. The reversal of 1002100204224 is 4224020012001.

1002100204224 is a `hidden beast` number, since 10 + 0 + 210 + 0 + 20 + 422 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a junction number, because it is equal to n+sod(n) for n = 1002100204197 and 1002100204206.

It is not an unprimeable number, because it can be changed into a prime (1002100204223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 496826064 + ... + 496828080.

Almost surely, 2^{1002100204224} is an apocalyptic number.

1002100204224 is a gapful number since it is divisible by the number (14) 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 1002100204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731960285120).

1002100204224 is an abundant number, since it is smaller than the sum of its proper divisors (2461820366016).

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

1002100204224 is a wasteful number, since it uses less digits than its factorization.

1002100204224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1002100204224 its reverse (4224020012001), we get a palindrome (5226120216225).

The spelling of 1002100204224 in words is "one trillion, two billion, one hundred million, two hundred four thousand, two hundred twenty-four".