2101001100984 has 128 divisors (see below), whose sum is σ = 6042258892800. Its totient is φ = 675730460160.

The previous prime is 2101001100937. The next prime is 2101001101019. The reversal of 2101001100984 is 4890011001012.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 1791019 + ... + 2722085.

It is an arithmetic number, because the mean of its divisors is an integer number (47205147600).

Almost surely, 2^{2101001100984} is an apocalyptic number.

2101001100984 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 2101001100984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021129446400).

2101001100984 is an abundant number, since it is smaller than the sum of its proper divisors (3941257791816).

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

2101001100984 is a wasteful number, since it uses less digits than its factorization.

2101001100984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931450 (or 931440 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

Adding to 2101001100984 its reverse (4890011001012), we get a palindrome (6991012101996).

The spelling of 2101001100984 in words is "two trillion, one hundred one billion, one million, one hundred thousand, nine hundred eighty-four".