100220019984 has 160 divisors (see below), whose sum is σ = 329549185280. Its totient is φ = 28565913600.

The previous prime is 100220019973. The next prime is 100220020031. The reversal of 100220019984 is 489910022001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1233744 + ... + 1312464.

It is an arithmetic number, because the mean of its divisors is an integer number (2059682408).

Almost surely, 2^100220019984 is an apocalyptic number.

100220019984 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 100220019984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164774592640).

100220019984 is an abundant number, since it is smaller than the sum of its proper divisors (229329165296).

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

100220019984 is a wasteful number, since it uses less digits than its factorization.

100220019984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79166 (or 79154 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 100220019984 in words is "one hundred billion, two hundred twenty million, nineteen thousand, nine hundred eighty-four".