30010200011000 has 512 divisors, whose sum is σ = 82443264583680. Its totient is φ = 10103030784000.

The previous prime is 30010200010969. The next prime is 30010200011003. The reversal of 30010200011000 is 11000201003.

It is a super-2 number, since 2×30010200011000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30010200011003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12115541762 + ... + 12115544238.

It is an arithmetic number, because the mean of its divisors is an integer number (161022001140).

Almost surely, 2^{30010200011000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30010200011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41221632291840).

30010200011000 is an abundant number, since it is smaller than the sum of its proper divisors (52433064572680).

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

30010200011000 is a wasteful number, since it uses less digits than its factorization.

30010200011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 30010200011000 its reverse (11000201003), we get a palindrome (30021200212003).

The spelling of 30010200011000 in words is "thirty trillion, ten billion, two hundred million, eleven thousand".