2101101000984 has 128 divisors (see below), whose sum is σ = 5897595744000. Its totient is φ = 693042642432.

The previous prime is 2101101000983. The next prime is 2101101001003. The reversal of 2101101000984 is 4890001011012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101101000983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15039019 + ... + 15178085.

It is an arithmetic number, because the mean of its divisors is an integer number (46074966750).

Almost surely, 2^{2101101000984} is an apocalyptic number.

2101101000984 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 2101101000984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948797872000).

2101101000984 is an abundant number, since it is smaller than the sum of its proper divisors (3796494743016).

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

2101101000984 is a wasteful number, since it uses less digits than its factorization.

2101101000984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139814 (or 139804 counting only the distinct ones).

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

Adding to 2101101000984 its reverse (4890001011012), we get a palindrome (6991102011996).

The spelling of 2101101000984 in words is "two trillion, one hundred one billion, one hundred one million, nine hundred eighty-four", and thus it is an aban number.