100556200512 has 42 divisors (see below), whose sum is σ = 288226194438. Its totient is φ = 33518733312.

The previous prime is 100556200499. The next prime is 100556200541. The reversal of 100556200512 is 215002655001.

100556200512 is a `hidden beast` number, since 100 + 556 + 2 + 0 + 0 + 5 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 97358976576 + 3197223936 = 312024^2 + 56544^2 .

It is a super-3 number, since 3×100556200512³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 5 ways as a sum of consecutive naturals, for example, 87287793 + ... + 87288944.

It is an arithmetic number, because the mean of its divisors is an integer number (6862528439).

Almost surely, 2^100556200512 is an apocalyptic number.

100556200512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100556200512 is an abundant number, since it is smaller than the sum of its proper divisors (187669993926).

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

100556200512 is a wasteful number, since it uses less digits than its factorization.

100556200512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174576755 (or 174576742 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 100556200512 its reverse (215002655001), we get a palindrome (315558855513).

The spelling of 100556200512 in words is "one hundred billion, five hundred fifty-six million, two hundred thousand, five hundred twelve".