100640121301566 has 64 divisors (see below), whose sum is σ = 278829773314560. Its totient is φ = 26140291246080.

The previous prime is 100640121301487. The next prime is 100640121301673. The reversal of 100640121301566 is 665103121046001.

100640121301566 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 40 + 1 + 21 + 30 + 1 + 566 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 100640121301566.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12101982531 + ... + 12101990846.

It is an arithmetic number, because the mean of its divisors is an integer number (4356715208040).

Almost surely, 2^{100640121301566} is an apocalyptic number.

100640121301566 is an abundant number, since it is smaller than the sum of its proper divisors (178189652012994).

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

100640121301566 is a wasteful number, since it uses less digits than its factorization.

100640121301566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24203973406 (or 24203973400 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 100640121301566 its reverse (665103121046001), we get a palindrome (765743242347567).

The spelling of 100640121301566 in words is "one hundred trillion, six hundred forty billion, one hundred twenty-one million, three hundred one thousand, five hundred sixty-six".