30066100610100 has 288 divisors, whose sum is σ = 94913878456320. Its totient is φ = 7323076823040.

The previous prime is 30066100610089. The next prime is 30066100610101. The reversal of 30066100610100 is 101600166003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30066100610101) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 17111772 + ... + 18786828.

Almost surely, 2^{30066100610100} is an apocalyptic number.

30066100610100 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 30066100610100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47456939228160).

30066100610100 is an abundant number, since it is smaller than the sum of its proper divisors (64847777846220).

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

30066100610100 is a wasteful number, since it uses less digits than its factorization.

30066100610100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675207 (or 1675200 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 30066100610100 its reverse (101600166003), we get a palindrome (30167700776103).

The spelling of 30066100610100 in words is "thirty trillion, sixty-six billion, one hundred million, six hundred ten thousand, one hundred".