30011354132100 has 216 divisors, whose sum is σ = 95727630477024. Its totient is φ = 7253887872000.

The previous prime is 30011354132063. The next prime is 30011354132129. The reversal of 30011354132100 is 123145311003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11006455 + ... + 13459745.

Almost surely, 2^{30011354132100} is an apocalyptic number.

30011354132100 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 30011354132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47863815238512).

30011354132100 is an abundant number, since it is smaller than the sum of its proper divisors (65716276344924).

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

30011354132100 is a wasteful number, since it uses less digits than its factorization.

30011354132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453667 (or 2453649 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 30011354132100 its reverse (123145311003), we get a palindrome (30134499443103).

The spelling of 30011354132100 in words is "thirty trillion, eleven billion, three hundred fifty-four million, one hundred thirty-two thousand, one hundred".