30221113130100 has 864 divisors, whose sum is σ = 105019108346880. Its totient is φ = 7525799424000.

The previous prime is 30221113130059. The next prime is 30221113130107. The reversal of 30221113130100 is 103131112203.

30221113130100 is a `hidden beast` number, since 30 + 221 + 1 + 1 + 313 + 0 + 100 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30221113130107) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2435412696 + ... + 2435425104.

It is an arithmetic number, because the mean of its divisors is an integer number (121549893920).

Almost surely, 2^{30221113130100} is an apocalyptic number.

30221113130100 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 30221113130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52509554173440).

30221113130100 is an abundant number, since it is smaller than the sum of its proper divisors (74797995216780).

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

30221113130100 is a wasteful number, since it uses less digits than its factorization.

30221113130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12583 (or 12564 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 30221113130100 its reverse (103131112203), we get a palindrome (30324244242303).

The spelling of 30221113130100 in words is "thirty trillion, two hundred twenty-one billion, one hundred thirteen million, one hundred thirty thousand, one hundred".