30534002100000 has 1296 divisors, whose sum is σ = 129670509759336. Its totient is φ = 6790210560000.

The previous prime is 30534002099989. The next prime is 30534002100073. The reversal of 30534002100000 is 120043503.

30534002100000 is a `hidden beast` number, since 3 + 0 + 53 + 400 + 210 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3855992014224 + 26678010085776 = 1963668^2 + 5165076^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1631690644 + ... + 1631709356.

Almost surely, 2^{30534002100000} is an apocalyptic number.

30534002100000 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 30534002100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64835254879668).

30534002100000 is an abundant number, since it is smaller than the sum of its proper divisors (99136507659336).

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

30534002100000 is a wasteful number, since it uses less digits than its factorization.

30534002100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18805 (or 18767 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 30534002100000 its reverse (120043503), we get a palindrome (30534122143503).

The spelling of 30534002100000 in words is "thirty trillion, five hundred thirty-four billion, two million, one hundred thousand".