2102051684700 has 576 divisors, whose sum is σ = 7987303779840. Its totient is φ = 468453888000.

The previous prime is 2102051684687. The next prime is 2102051684701. The reversal of 2102051684700 is 74861502012.

2102051684700 is a `hidden beast` number, since 2 + 1 + 0 + 20 + 5 + 168 + 470 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102051684701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21662290 + ... + 21759110.

It is an arithmetic number, because the mean of its divisors is an integer number (13866846840).

Almost surely, 2^{2102051684700} is an apocalyptic number.

2102051684700 is a gapful number since it is divisible by the number (20) 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 2102051684700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993651889920).

2102051684700 is an abundant number, since it is smaller than the sum of its proper divisors (5885252095140).

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

2102051684700 is a wasteful number, since it uses less digits than its factorization.

2102051684700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96915 (or 96902 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 2102051684700 in words is "two trillion, one hundred two billion, fifty-one million, six hundred eighty-four thousand, seven hundred".