100011870398080 has 128 divisors (see below), whose sum is σ = 246810466805760. Its totient is φ = 38713177497600.

The previous prime is 100011870398059. The next prime is 100011870398119. The reversal of 100011870398080 is 80893078110001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×100011870398080³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100011870398080.

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, 1287993817 + ... + 1288071463.

It is an arithmetic number, because the mean of its divisors is an integer number (1928206771920).

Almost surely, 2^{100011870398080} is an apocalyptic number.

100011870398080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011870398080 is an abundant number, since it is smaller than the sum of its proper divisors (146798596407680).

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

100011870398080 is an equidigital number, since it uses as much as digits as its factorization.

100011870398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142618 (or 142606 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 46.

The spelling of 100011870398080 in words is "one hundred trillion, eleven billion, eight hundred seventy million, three hundred ninety-eight thousand, eighty".