100821981980160 has 960 divisors, whose sum is σ = 429840294174720. Its totient is φ = 21331975864320.

The previous prime is 100821981980119. The next prime is 100821981980173. The reversal of 100821981980160 is 61089189128001.

100821981980160 is a `hidden beast` number, since 100 + 8 + 2 + 198 + 198 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 100821981980097 and 100821981980106.

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 95 ways as a sum of consecutive naturals, for example, 114554256 + ... + 115431024.

It is an arithmetic number, because the mean of its divisors is an integer number (447750306432).

Almost surely, 2^{100821981980160} is an apocalyptic number.

100821981980160 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 100821981980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214920147087360).

100821981980160 is an abundant number, since it is smaller than the sum of its proper divisors (329018312194560).

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

100821981980160 is a wasteful number, since it uses less digits than its factorization.

100821981980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876859 (or 876840 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 54.

The spelling of 100821981980160 in words is "one hundred trillion, eight hundred twenty-one billion, nine hundred eighty-one million, nine hundred eighty thousand, one hundred sixty".