100164225399712 has 48 divisors (see below), whose sum is σ = 204925726656000. Its totient is φ = 48141281675520.

The previous prime is 100164225399697. The next prime is 100164225399727. The reversal of 100164225399712 is 217993522461001.

It is an interprime number because it is at equal distance from previous prime (100164225399697) and next prime (100164225399727).

It is a self number, because there is not a number n which added to its sum of digits gives 100164225399712.

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 7 ways as a sum of consecutive naturals, for example, 338684412 + ... + 338980027.

It is an arithmetic number, because the mean of its divisors is an integer number (4269285972000).

Almost surely, 2^{100164225399712} is an apocalyptic number.

It is an amenable number.

100164225399712 is an abundant number, since it is smaller than the sum of its proper divisors (104761501256288).

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

100164225399712 is a wasteful number, since it uses less digits than its factorization.

100164225399712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677664629 (or 677664621 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 100164225399712 in words is "one hundred trillion, one hundred sixty-four billion, two hundred twenty-five million, three hundred ninety-nine thousand, seven hundred twelve".