100511681381652 has 48 divisors (see below), whose sum is σ = 244048859873280. Its totient is φ = 32170076963808.

The previous prime is 100511681381641. The next prime is 100511681381669. The reversal of 100511681381652 is 256183186115001.

100511681381652 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1650732948 + ... + 1650793835.

It is an arithmetic number, because the mean of its divisors is an integer number (5084351247360).

Almost surely, 2^{100511681381652} is an apocalyptic number.

100511681381652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100511681381652 is an abundant number, since it is smaller than the sum of its proper divisors (143537178491628).

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

100511681381652 is a wasteful number, since it uses less digits than its factorization.

100511681381652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301526892 (or 3301526890 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 48.

The spelling of 100511681381652 in words is "one hundred trillion, five hundred eleven billion, six hundred eighty-one million, three hundred eighty-one thousand, six hundred fifty-two".