2100129984 has 112 divisors (see below), whose sum is σ = 6199327200. Its totient is φ = 697171968.

The previous prime is 2100129971. The next prime is 2100129989. The reversal of 2100129984 is 4899210012.

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

It is not an unprimeable number, because it can be changed into a prime (2100129989) 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, 441732 + ... + 446460.

Almost surely, 2^2100129984 is an apocalyptic number.

2100129984 is a gapful number since it is divisible by the number (24) 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 2100129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099663600).

2100129984 is an abundant number, since it is smaller than the sum of its proper divisors (4099197216).

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

2100129984 is a wasteful number, since it uses less digits than its factorization.

2100129984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007 (or 4991 counting only the distinct ones).

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

The square root of 2100129984 is about 45827.1751693250. The cubic root of 2100129984 is about 1280.6055858395.

Adding to 2100129984 its reverse (4899210012), we get a palindrome (6999339996).

The spelling of 2100129984 in words is "two billion, one hundred million, one hundred twenty-nine thousand, nine hundred eighty-four".