100036565630001 has 648 divisors, whose sum is σ = 212559078863040. Its totient is φ = 43992177546240.

The previous prime is 100036565629951. The next prime is 100036565630003.

100036565630001 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 36 + 565 + 63 + 0 + 0 + 0 + 1 = 666.

100036565630001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100036565630001 - 2⁶ = 100036565629937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100036565630003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 507799825435 + ... + 507799825631.

Almost surely, 2^{100036565630001} is an apocalyptic number.

100036565630001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100036565630001 is an abundant number, since it is smaller than the sum of its proper divisors (112522513233039).

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

100036565630001 is a wasteful number, since it uses less digits than its factorization.

100036565630001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 100036565630001 in words is "one hundred trillion, thirty-six billion, five hundred sixty-five million, six hundred thirty thousand, one".