100381427228160 has 1440 divisors, whose sum is σ = 390118400511840. Its totient is φ = 24623761784832.

The previous prime is 100381427228077. The next prime is 100381427228183. The reversal of 100381427228160 is 61822724183001.

100381427228160 is a `hidden beast` number, since 1 + 0 + 0 + 38 + 14 + 272 + 281 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 82754679714 + ... + 82754680926.

It is an arithmetic number, because the mean of its divisors is an integer number (270915555911).

Almost surely, 2^{100381427228160} is an apocalyptic number.

100381427228160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100381427228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195059200255920).

100381427228160 is an abundant number, since it is smaller than the sum of its proper divisors (289736973283680).

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

100381427228160 is an frugal number, since it uses more digits than its factorization.

100381427228160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 100381427228160 in words is "one hundred trillion, three hundred eighty-one billion, four hundred twenty-seven million, two hundred twenty-eight thousand, one hundred sixty".