100022009984 has 128 divisors (see below), whose sum is σ = 222255290880. Its totient is φ = 44542955520.

The previous prime is 100022009957. The next prime is 100022009987. The reversal of 100022009984 is 489900220001.

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

It is not an unprimeable number, because it can be changed into a prime (100022009987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5543762 + ... + 5561774.

It is an arithmetic number, because the mean of its divisors is an integer number (1736369460).

Almost surely, 2^100022009984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111127645440).

100022009984 is an abundant number, since it is smaller than the sum of its proper divisors (122233280896).

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

100022009984 is a wasteful number, since it uses less digits than its factorization.

100022009984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18158 (or 18146 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

Adding to 100022009984 its reverse (489900220001), we get a palindrome (589922229985).

The spelling of 100022009984 in words is "one hundred billion, twenty-two million, nine thousand, nine hundred eighty-four".