30221103201000 has 1024 divisors, whose sum is σ = 108550747468800. Its totient is φ = 6951370752000.

The previous prime is 30221103200933. The next prime is 30221103201001. The reversal of 30221103201000 is 10230112203.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (30221103201001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6489390672 + ... + 6489395328.

It is an arithmetic number, because the mean of its divisors is an integer number (106006589325).

Almost surely, 2^{30221103201000} is an apocalyptic number.

30221103201000 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 30221103201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54275373734400).

30221103201000 is an abundant number, since it is smaller than the sum of its proper divisors (78329644267800).

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

30221103201000 is a wasteful number, since it uses less digits than its factorization.

30221103201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4935 (or 4921 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 30221103201000 its reverse (10230112203), we get a palindrome (30231333313203).

The spelling of 30221103201000 in words is "thirty trillion, two hundred twenty-one billion, one hundred three million, two hundred one thousand".