30003122021100 has 144 divisors (see below), whose sum is σ = 88229159305728. Its totient is φ = 7870933186560.

The previous prime is 30003122021027. The next prime is 30003122021111. The reversal of 30003122021100 is 112022130003.

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 30003122021100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1772769 + ... + 7946631.

Almost surely, 2^{30003122021100} is an apocalyptic number.

30003122021100 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 30003122021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44114579652864).

30003122021100 is an abundant number, since it is smaller than the sum of its proper divisors (58226037284628).

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

30003122021100 is a wasteful number, since it uses less digits than its factorization.

30003122021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174144 (or 6174137 counting only the distinct ones).

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

Adding to 30003122021100 its reverse (112022130003), we get a palindrome (30115144151103).

The spelling of 30003122021100 in words is "thirty trillion, three billion, one hundred twenty-two million, twenty-one thousand, one hundred".