30002020322100 has 288 divisors, whose sum is σ = 91214381905920. Its totient is φ = 7603817141760.

The previous prime is 30002020322081. The next prime is 30002020322101. The reversal of 30002020322100 is 122302020003.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30002020322100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30002020322101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149548459 + ... + 149748941.

It is an arithmetic number, because the mean of its divisors is an integer number (316716603840).

Almost surely, 2^{30002020322100} is an apocalyptic number.

30002020322100 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 30002020322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45607190952960).

30002020322100 is an abundant number, since it is smaller than the sum of its proper divisors (61212361583820).

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

30002020322100 is a wasteful number, since it uses less digits than its factorization.

30002020322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200799 (or 200792 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 30002020322100 its reverse (122302020003), we get a palindrome (30124322342103).

The spelling of 30002020322100 in words is "thirty trillion, two billion, twenty million, three hundred twenty-two thousand, one hundred".