100220397984 has 960 divisors, whose sum is σ = 371688210432. Its totient is φ = 25866086400.

The previous prime is 100220397941. The next prime is 100220398039. The reversal of 100220397984 is 489793022001.

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 159 ways as a sum of consecutive naturals, for example, 789136929 + ... + 789137055.

Almost surely, 2^100220397984 is an apocalyptic number.

100220397984 is a gapful number since it is divisible by the number (14) 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 100220397984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185844105216).

100220397984 is an abundant number, since it is smaller than the sum of its proper divisors (271467812448).

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

100220397984 is a wasteful number, since it uses less digits than its factorization.

100220397984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 100220397984 in words is "one hundred billion, two hundred twenty million, three hundred ninety-seven thousand, nine hundred eighty-four".