30003310220100 has 288 divisors, whose sum is σ = 105069617780736. Its totient is φ = 6461822822400.

The previous prime is 30003310220083. The next prime is 30003310220101. The reversal of 30003310220100 is 102201330003.

It is a super-2 number, since 2×30003310220100² (a number of 28 digits) contains 22 as substring.

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 30003310220100.

It is not an unprimeable number, because it can be changed into a prime (30003310220101) 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, 1399621 + ... + 7871820.

Almost surely, 2^{30003310220100} is an apocalyptic number.

30003310220100 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 30003310220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52534808890368).

30003310220100 is an abundant number, since it is smaller than the sum of its proper divisors (75066307560636).

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

30003310220100 is a wasteful number, since it uses less digits than its factorization.

30003310220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9271555 (or 9271548 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 30003310220100 its reverse (102201330003), we get a palindrome (30105511550103).

The spelling of 30003310220100 in words is "thirty trillion, three billion, three hundred ten million, two hundred twenty thousand, one hundred".