213003100221120 has 672 divisors, whose sum is σ = 834223307074560. Its totient is φ = 49378534318080.

The previous prime is 213003100220969. The next prime is 213003100221133. The reversal of 213003100221120 is 21122001300312.

213003100221120 is a `hidden beast` number, since 2 + 1 + 300 + 310 + 0 + 22 + 11 + 20 = 666.

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 = 213003100221093 and 213003100221102.

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, 2803040086 + ... + 2803116074.

Almost surely, 2^{213003100221120} is an apocalyptic number.

213003100221120 is a gapful number since it is divisible by the number (20) 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 213003100221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417111653537280).

213003100221120 is an abundant number, since it is smaller than the sum of its proper divisors (621220206853440).

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

213003100221120 is a wasteful number, since it uses less digits than its factorization.

213003100221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79893 (or 79880 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213003100221120 its reverse (21122001300312), we get a palindrome (234125101521432).

The spelling of 213003100221120 in words is "two hundred thirteen trillion, three billion, one hundred million, two hundred twenty-one thousand, one hundred twenty".